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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. threefold; family of algebraic 1-cycles; Abel-Jacobi map; intermediate Jacobian; Grothendieck's generalized Hodge conjecture
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Stark's conjecture; cyclotomic units; (\(p\)-adic) gamma function; (\(p\)-adic) beta function; Fermat curves; CM-periods; \(p\)-adic periods
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Fujita's conjecture; tight closure K. E. Smith, A tight closure proof of Fujita's freeness conjecture for very ample line bundles, Math. Ann, to appear.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Lang conjecture; elliptic curve; Neron-Tate height of nontorsion point; rational points; integral j-invariant; nontorsion points Silverman, J. H.: The Néron-Tate height on elliptic curves, (1981)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. elliptic curves; parity conjecture; Selmer groups; Mordell-Weil rank; Hilbert class field towers Mazur, B., Rubin, K.: Growth of Selmer rank in nonabelian extensions of number fields. Duke Math. J. 143, 437--461 (2008)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. multihomogeneous forms; sums of squares; isotropic measures; Hilbert's 17th problem
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Grothendieck's section conjecture; rational point; étale fundamental group doi:10.1016/j.jpaa.2010.08.017
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Gersten's conjecture; zero map on K-theory; coherent sheaves \beginbarticle \bauthor\binitsH. \bsnmGillet and \bauthor\binitsM. \bsnmLevine, \batitleThe relative form of Gersten's conjecture over a discrete valuation ring: The smooth case, \bjtitleJ. Pure Appl. Algebra \bvolume46 (\byear1987), no. \bissue1, page 59-\blpage71. \endbarticle \endbibitem
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. determinant orbit closure; Latin squares; Alon-Tarsi conjecture; geometric complexity theory; Valiant's conjecture; representations Kumar, Shrawan, A study of the representations supported by the orbit closure of the determinant, Compos. Math., 151, 02, 292-312, (2015)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Stark's conjectures; the Gross-Stark conjecture; CM-periods; (\(p\)-adic) multiple gamma functions; \(p\)-adic Hodge theory
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Jacobian conjecture; Vitushkin's counterexample
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Siegel varieties; submotives; Hecke correspondences; Weil numbers; Satake map Logachev, D.: Relations between conjectural eigenvalues of Hecke operators on submotives of Siegel varieties
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. local heights; algebraic family of abelian varieties; canonical height; completion of the Néron model . Call, G. : Variation of local heights on an algebraic family of abelian varieties . Théorie des Nombres , Berlin, (1989).
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. families of curves; families of varieties; Shafarevich's conjecture; stacks; deformations; principally polarized varieties Kovács, Erratum for boundedness of families of canonically polarized manifolds: a higher-dimensional analogue of Shafarevich's conjecture, Ann. of Math. 173 ((2)) pp 585-- (2011)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. products of CM elliptic curves; Coleman's conjecture; endomorphism algebras; singular abelian surfaces
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. ideals; unique factorization domains; homomorphisms; noetherian rings; artinian rings; localization; Noether normalization; Hilbert's Nullstellensatz; Zariski's main theorem; Chevalley's semi-continuity theorem; Weil divisors; Cartier divisors Peskine, C., An algebraic introduction to complex projective geometry: commutative algebra, Cambridge Stud. Adv. Math., (1996), Cambridge University Press
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Virasoro conjecture; Gromov-Witten invariants; Faber's conjecture; tautological Chow ring Getzler, E. \& Pandharipande, R., Virasoro constraints and the Chern classes of the Hodge bundle. Nuclear Phys. B, 530 (1998), 701--714.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Theta-function; Siegel modular forms; Thetanullwerte; Siegel modular group; Igusa's congruence subgroup R. Salvati Manni: Modular varieties with level \(2\) theta structure , Amer. J. Math. 116 (1994), 1489-1511.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. \(\ell\)-adic representations; K3 type; Newton polygon; abelian varieties; algebraic envelopes; Tate's conjecture; algebraicity of Galois-invariant cohomology classes Yu. G. Zarhin, Abelian varieties of \(K3\) type and \(l\)-adic representations , Algebraic geometry and analytic geometry (Proceedings, Tokyo, 1990), ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991, pp. 231-255.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. combinatorial representation theory; Kostka-Foulkes polynomials; Lecouvey's conjecture; charge; type C
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. elliptic modular surfaces; cusp forms; commutator subgroup of the modular group; Tate's conjecture
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Wieferich's criterion; first case of Fermat's last theorem; abc- conjecture; points of infinite order; elliptic curves; j-invariants Silverman, Joseph H., Wieferich's criterion and the \(abc\)-conjecture, J. Number Theory, 30, 2, 226-237, (1988)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. minimal free resolution; Green's conjecture; restriction to a divisor
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Shimura varieties; Lang's conjecture Ullmo, E.; Yafaev, A., Points rationnels des variétés de Shimura: un principe du ``tout ou rien'', Math. Ann., 348, 3, 689-705, (2010)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. bibliography; survey article; modular forms; automorphic forms; L-functions; representation theory of groups; Artin's conjecture; lifting
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Zariski's multiplicity conjecture; Fukui-Kurdyka-Paunescu conjecture; arc-analytic; bi-Lipschitz homeomorphism; degree; multiplicity
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Fukaya's conjecture; Green's operator; Witten deformation
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. standard basis; Gröbner basis; syzygies of a canonical curve; equations of Petri's type; non-minimal resolution; reducible canonical curves; Green's conjecture; second syzygy module; Hilbert's syzygy theorem Milnor, J.: On the 3-dimensional Brieskorn manifolds \textit{M(p, q, r)}. In: Neuwirth, L.P. (ed.) Knots, Groups, and 3-Manifolds (Papers Dedicated to the Memory of R. H. Fox), pp. 175-225. Princeton Univ. Press, Princeton, N. J. (1975)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. semistable bundles; Mercat's conjecture; Lazarsfeld-Mukai bundles
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. rational points; del Pezzo surfaces; Manin's conjecture; Diophantine equations T. D. Browning and U. Derenthal, ''Manin's conjecture for a quartic del Pezzo surface with A 4 singularity,'' Ann. Inst. Fourier (Grenoble), 59, No. 3, 1231--1265 (2009).
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. heights; abelian varieties; regulators; Mordell-Weil
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. arithmetic intersection formula; Hilbert modular surface; Faltings height; Colmez conjecture Yang, Tonghai, An arithmetic intersection formula on Hilbert modular surfaces, Amer. J. Math., 132, 5, 1275-1309, (2010)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. unramified correspondences; Abyhankar's lemma; contraction of points
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Hodge conjecture; algebraic cycles; Weil Hodge structure on abelian 4- folds with complex multiplication C. Schoen, Hodge classes on selfproducts of a variety with an automorphism,Compositio Math.65 (1988), 3--32.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Milnor \(K\)-theory; Milnor's conjecture; étale cohomology; motivic homotopy; motivic cohomology; cohomology operations V. Voevodsky, Voevodsky's Seattle lectures: \?-theory and motivic cohomology, Algebraic \?-theory (Seattle, WA, 1997) Proc. Sympos. Pure Math., vol. 67, Amer. Math. Soc., Providence, RI, 1999, pp. 283 -- 303. Notes by C. Weibel.
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. effective Matsusaka theorem; holomorphic sections of bundles; Fujita's conjecture
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Roth's theorem; upper bound on the vanishing of a global section of an invertible sheaf; Dyson's lemma DOI: 10.1007/BF01884303
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. étale fundamental group; Albanese variety; curves of genus 2; Grothendieck's section conjecture; anabelian geometry Harari D. and Szamuely T., Galois sections for abelianized fundamental groups, Math. Ann. 344 (2009), no. 4, 779-800.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. irreducible algebraic curve; number field; algebraic torus of dimension at least 3; Levin; Zilber's Conjecture on Intersection with tori; transcendence theory; Shanuel's Conjecture; o-minimal structures Bays, M.; Habegger, P., A note on divisible points of curves, Trans. Amer. Math. Soc., 367, 1313-1328, (2015)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Zariski's multiplicity conjecture; bi-Lipschitz equivalence; Lelong numbers Alexandre Fernandes & J. Edson Sampaio, ``Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms'', J. Topol.9 (2016) no. 3, p. 927-933
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. dessin d'enfant; Newton polygon; heights; Belyi height; Belyi functions
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. canonical linear system; intersection of all hyperquadrics; Reid's conjecture; regular even canonical surface Konno, K., Even canonical surfaces with small \(K^2\), I, Nagoya Math. J., 129, 115-146, (1993)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. canonical height; Deligne pairing; dual graph; effective resistance; Green's function; height jump divisor; labelled graph; Néron model; resistive network. Biesel, O.; Holmes, D.; De Jong, R., Néron models and the height jump divisor, Trans. Amer. Math. Soc., 369, 8685-8723, (2017)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Hodge bundle; ample vector bundle; function field; height; abelian scheme; Néron model; purely inseparable points; torsors; Tate-Shafarevich group; BSD conjecture; Tate conjecture
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. expository article; geometric trends in arithmetics; Mordell's conjecture
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. boundedness conjecture for group of rational torsion points; elliptic curve; Mordell-Weil theorem; abelian variety; potential complex multiplication; torsion points on the Fermat curves; p-adic abelian integrals Coleman, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. canonical module; zero-dimensional subscheme; rational normal curve; rational normal scroll; Castelnuovo's lemma; Hankel matrix Yanagawa, K.: Some generalizations of Castelnuovo's lemma on zero-dimensional schemes. J. algebra 170, 429-431 (1994)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Riemann-Roch formula for \(\ell\)-adic sheaves of rank one; \({\mathcal D}\)-module; invariants of wild ramification; ramification in finite coverings of higher dimensional schemes; Artin characters for higher dimensional regular local rings; class field theory; Serre's conjecture; ramification of Galois representations; Swan conductor; characteristic cycle K. Kato, Class field theory, \(D\)-modules, and ramification on higher-dimensional schemes, Part I, Amer. J. Math., 116, 757-784, (1994)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Mordell conjecture; rational points; Thue's method E. Bombieri , The Mordell conjecture revisited , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 ( 1990 ) 615 - 640 . - Erratum. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 ( 1991 ) 473 . Numdam | MR 1093712 | Zbl 0763.14007
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. string theory; quantum field theory; topological quantum field theory; conformal field theory; Kac-Moody groups; Chern-Simons-Witten theory; topological sigma model; mirror symmetry; gauge theory; Wess-Zumino-Witten model; M-theory; Maldacena conjecture; self-duality equations; Donaldson theory; Witten's magical equation Woit, P.: Solar. Not Even Wrong, 5 April 2010. http://www.math.columbia.edu/\(\sim\)woit/wordpress/?p=2844
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Comon's conjecture; tensor decomposition; Waring decomposition
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. surfaces; higher syzygies; trivial canonical bundle; Seshadri constants; Enriques surfaces; Green's conjecture
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Zilber-Pink conjecture; non-algebraic sets; o-minimality; Schanuel's conjecture; tame sets
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Milnor \(K\)-theory; Gersten conjecture; motivic cohomology; Beilinson's conjecture; Chow groups; Bloch-Kato conjecture Kerz, Moritz, The Gersten conjecture for Milnor \(K\)-theory, Invent. Math., 175, 1, 1-33, (2009)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. algebraic cycles; Shimura varieties; Eisenstein series; Siegel-Weil formula; explicit description of the cup product of the Betti cohomology classes; modular symbols; intersection numbers; Fourier coefficients Kudla, S., \textit{algebraic cycles on Shimura varieties of orthogonal type}, Duke J. Math., 86, 39-78, (1997)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. real Jacobian conjecture; real polynomial mapping; Pinchuk's mapping Gwoździewicz, J.: The real Jacobian conjecture for polynomials of degree 3. Ann. polon. Math. 76, 121-125 (2001)
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. integral points; rational surface; Vojta's conjecture; Nevanlinna theory P. Corvaja, Problems and results on integral points on rational surfaces. In Diophantine geometry (ed. U. Zannier), Edizioni della Normale 2007, 123-141. Zbl1144.11049 MR2349651
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Durfee's conjecture; surface singularities; signature of smoothing; geometric genus; resolution; unimodular intersection form
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Clifford index; Koszul cohomology; Green's conjecture; torsionfree sheaf Ballico, E.; Fontanari, C.; Tasin, L., Singular curves on \(K3\) surfaces, Sarajevo J. Math., 6(19), 2, 165-168, (2010)
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Bertini principle; module finite extensions of normal local domains; normal prime ideals; Hironaka's lemma Griffith, P.: A relative filtration index and fibers of normal primes in extensions of finite type. Compositio math. 110, 251-262 (1998)
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Diophantine inequalities; asymptotic Fermat; survey; Szpiro conjecture; modular height; conductor; elliptic curves; abc conjecture; Hall conjecture; upper bounds on the number of torsion elements; lower bound on the canonical height Lang S 1990 Old and new conjectured diophantine inequalities \textit{Bull. Am. Math. Soc.}23 37--75
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. stably rational moduli spaces; algebraic vector bundles; Hartshorne's conjecture; Kobayashi-Hitchin's conjecture
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. secant varieties; tensor rank; tangent developable; Segre varieties; Comon's conjecture E. Ballico and A. Bernardi, \textit{Tensor ranks on tangent developable of Segre varieties}, Linear Multilinear Algebra, 61 (2013), pp. 881--894.
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Galois representations; Mordell-Weil lattices; elliptic curves; deformation theory of isolated singularities; Mordell-Weil group; Hasse zeta function; elliptic surfaces; Artin L-function; Weil height; del Pezzo surfaces; cubic forms Shioda, T.: Mordell-Weil lattices and Galois representation. I, II, III. Proc. Japan Acad., 65A, 269-271 ; 296-299 ; 300-303 (1989).
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Serre's conjecture; rational sections; rational points
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. modular curve; generalized Ogg's conjecture; Eisenstein ideal
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Mordell conjecture; rational points; heights E. Bombieri, The Mordell conjecture revisited. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 17 (1990), no. 4, 615-640. Zbl0722.14010 MR1093712
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. \(L^ 2\)-cohomology; arithmetic quotients; bounded symmetric domains; Zucker's conjecture W. Casselman : Introduction to the L2-cohomology of arithmetic quotients of bounded symmetric domains , 1985.
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heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. division group; division point; integral point; primitive divisor; Schinzel's theorem; Siegel's theorem Grant, David; Ih, S., Integral division points on curves, Compos. Math., 149, 12, 2011-2035, (2013)
| 0 |
heights; Mahler measures; multiplicative Weil height; Siegel's lemma; Lehmer's conjecture; Dobrowolski's result Wolfgang M. Schmidt, Heights of algebraic points, Number theory and its applications (Ankara, 1996) Lecture Notes in Pure and Appl. Math., vol. 204, Dekker, New York, 1999, pp. 185 -- 225. Schmidt's subspace theorem; Cartan conjecture; Nochka weights; Wirsing's theorem; moving targets
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. nonisolated singularities; non-degenerate singularities; topological zeta functions; monodromy conjecture; toric varieties; Newton polytopes; non-convenient Newton polyhedra; eigenvalues of monodromy; corners; hypermodular function; lattice geometry
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of Hilbert modular varieties; explicit bounds; discriminant of cubic number field; non-rationality Grundman, H. G.: On the classification of Hilbert modular threefolds. Manuscripta math. 72, 297-305 (1991)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of toric varieties; Picard number; regular fan of convex cones Batyrev, V V, On the classification of smooth projective toric varieties, Tôhoku Math. J., Ser. 2, 43, 569-585, (1991)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. discrete valuation rings; degeneration of projective toric varieties; non-compact polyhedra; toric divisor; number of solutions of Laurent polynomials A. L. Smirnov, Torus schemes over a discrete valuation ring, Algebra i Analiz 8 (1996), no. 4, 161 -- 172 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 8 (1997), no. 4, 651 -- 659.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. f-vector; h-vector; intersection cohomology of projective toric varieties; non-simplicial polytopes Stanley, R. , Generalized H-vectors, intersection cohomology of toric varieties and related results , in '' Commutative algebra and Combinatorics ,'' Adv. Stud. in Pure Math. 11, North-Holland, Amsterdam and New York (1987), pp. 187-213.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of toric Fano varieties Günter Ewald, On the classification of toric Fano varieties, Discrete Comput. Geom. 3 (1988), no. 1, 49 -- 54.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; nonsingular 4-dimensional toric varieties; intersection form; smooth category; Kirby calculus; complex projective plane; product of spheres S. Fischli, ''On Toric Varieties,'' PhD Thesis (Univ. Bern, 1992), available at http://www.sws.bfh.ch/:_fischli/thesis.pdf
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. blow-ups; blow-downs; classification of nonsingular toric Fano varieties; Gorenstein toric Fano surfaces Øbro, M.: An algorithm for the classification of smooth Fano polytopes (2007). Preprint, arXiv:0704.0049
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. height zeta functions; non-split toric varieties over function field; asymptotic behavior of points of bounded height D. Bourqui, Fonction Zéta des Hauteurs des Variétés Toriques Non Déployées, Memoirs of the AMS, No. 994 211 (2011).
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of almost-homogeneous spaces; classification of almost- homogeneous varieties; Coxeter groups; fans; holomorphic involutions; toric varieties; torus embedding
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. fan; classification of complete smooth toric varieties; Fano variety P. Kleinschmidt, ''A Classification of Toric Varieties with Few Generators,'' Aequationes Math. 35, 254--266 (1988).
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Makar-Limanov invariant; automorphisms of varieties; classification of varieties Bandman, On C-fibrations over projective curves, Michigan Math. J. 56 (3) pp 669-- (2008)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non-abelian group action; moduli of abelian varieties; adjoint group schemes Alexeev, V.; Brion, M., \textit{stable reductive varieties I: affine varieties}, Invent. Math., 157, 227-274, (2004)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Igusa zeta functions; congruences in many variables; topological zeta functions; motivic zeta functions; Newton polyhedra; toric varieties; log-principalization of ideals Willem Veys & Wilson A. Zúñiga-Galindo, Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra, Trans. Am. Math. Soc.360 (2008), p. 2205-2227
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. birational classification of algebraic varieties; canonical singularities; Mori program; minimal model program in dimension \(\geq 3\); 3-dimensional flips; 3-dimensional flops Kollár, János; Mori, Shigefumi. \(Birational geometry of algebraic varieties\) With the collaboration of C. H. Clemens and A. Corti. Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, 1998. viii+254 pp.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. non compact toric varieties with singularities; homology with closed supports; cohomology with compact supports A. Jordan, ''Homology and Cohomology of Toric Varieties,'' PhD Thesis (Univ. Konstanz, 1997), available at http://www.inf.uni-konstanz.de/Schriften/preprints-1998.html#057
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. determinantal variety; classification of Cremona transformations; systems of quadrics through Severi varieties; quintic elliptic scroll Ein L. and Shepherd-Barron N., Some special Cremona transformations, Amer. J. Math. 111 (1989), 783-800.
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. algebraic spaces; toric varieties; action of \(\mathbb{C}^*\) Andrzej Biaynicki, On actions of C on algebraic spaces Fourier, Inst Grenoble 43 pp 359-- (1993)
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Viro method; topology of real algebraic varieties; toric varieties; real complete intersections Bihan F. Viro method for the construction of real complete intersections. Adv Math, 2002, 169: 177--186
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. torsion points of abelian varieties; product of non-isogenous elliptic curves [4] M. Hindry & N. Ratazzi, `` Torsion dans un produit de courbes elliptiques {'', \(J. Ramanujan Math. Soc.\)25 (2010), no. 1, p. 81-111. &MR 26 | &Zbl 1206.}
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. \(B\)-branes; derived categories of sheaves; toric varieties
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. surface in projection 4-space; 3-fold in projective 5-space; classification of smooth projective varieties; small invariants; small codimension; adjunction theory; liaison Wolfram Decker and Sorin Popescu, On surfaces in \?\(^{4}\) and 3-folds in \?\(^{5}\), Vector bundles in algebraic geometry (Durham, 1993) London Math. Soc. Lecture Note Ser., vol. 208, Cambridge Univ. Press, Cambridge, 1995, pp. 69 -- 100.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. vector bundle on a compact complex manifold; \(c_ 1\)-sectional genus; classification theory of polarized surfaces; Jacobian varieties; blowing- up Fujita, T., Ample vector bundles of small \(c_{1}\)-sectional genera, J. Math. Kyoto Univ., 29, 1-16, (1989)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. irreducible complex affine algebraic varieties; linear differential operators; classification of curves; differential isomorphisms; framed curves; adelic Grassmannian; coherent sheaves; Weyl algebras Yu. Berest, G. Wilson, \textit{Differential isomorphism and equivalence of algebraic varieties}, in: \textit{Topology, Geometry and Quantum Field Theory} (Ed. U. Tillmann), London Math. Soc. Lecture Note Ser., Vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 98-126.
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. Cartier divisor; coordinate ring; morphisms into toric varieties; topology of torus actions Kajiwara, T.: The functor of a toric variety with enough invariant effective cartier divisors. Tôhoku math. J. 50, 139-157 (1998)
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. classification of smooth varieties; semisimple cotangent bundle; Kodaira dimension; para-abelian variety T. Fujiwara,Varieties of small Kodaira dimension whose cotangent bundles are semiample, Compositio Math84 (1992), 43--52
| 0 |
non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. graded automorphisms of polytopal algebras; arrangement of toric varieties; polyhedral algebras; weak fans; maximal tori W. Bruns and J. Gubeladze, ''Polyhedral algebras, arrangements of toric varieties, and their groups. Computational commutative algebra and combinatorics,'' Adv. Stud. Pure Math. 33 (2001), 1--51
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. moduli space of curves; algebraic group actions; Hilbert's fourteenth problem; stability; toric varieties Dolgachev, I. V., Introduction to geometric invariant theory, Lecture Notes Series, vol. 25, (1994), Seoul National University, Research Institute of Mathematics, Global Analysis Research Center Seoul
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non-starshaped spheres; classification of toric varieties G. Ewald and C. Schulz: Nonstarshaped spheres , Arch. Math. (Basel) 59 (1992), 412-416. toric varieties; factorization of birational maps; posets
| 0 |
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