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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) linear algebraic groups; Brauer equivalence; weak approximation Thǎńg, N. Q., Weak approximation, Brauer and \textit{R}-equivalence in algebraic groups over arithmetical fields, J. Math. Kyoto Univ., 40, 2, 247-291, (2000)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Beauville surfaces; minimal presentations; Beauville structures; finite simple groups; probabilistic group theory; hyperbolic triangle groups; conjugacy classes Garion, S.: On Beauville structures for \(PSL(2,q)\)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) tensor product of quaternion algebras; central simple algebras; orthogonal involution; Brauer-Severi variety; involution variety; function fields; generic isotropic splitting field; Brauer groups; Quillen \(K\)-theory D. Tao, ''A variety associated to an algebra with involution'',J. Algebra,168, 479--520 (1994).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) equivariant sheaf; admissible representations; real semisimple Lie group; cohomology groups; flag manifold; characteristic cycle; coadjoint orbit; character formula
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer-Manin obstruction; cubic surfaces Andreas-Stephan Elsenhans and Jörg Jahnel, On the Brauer-Manin obstruction for cubic surfaces, J. Comb. Number Theory 2 (2010), no. 2, 107 -- 128.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) local Artinian rings; Wedderburn complements; total rings of fractions; universal enveloping algebras; Heisenberg algebras; coefficient rings; Schur index; Brauer groups; purely inseparable field extensions
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) groups of automorphisms; Riemann surfaces; Klein surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(\mathbb Q\)-curves; formal groups; complex multiplication
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) translation surfaces; Veech groups J. P. Bowman, Finiteness conditions on translation surfaces, Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces, 2012, pp.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) abelian surfaces; Tate-Shafarevich groups; visibility
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) reciprocity law for surfaces over finite fields; group of degree 0 zero- cycles; rational equivalence; abelian geometric fundamental group; unramified class field theory; K-theory; Chow groups Jean-Louis Colliot-Thélène & Wayne Raskind, ``On the reciprocity law for surfaces over finite fields'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.33 (1986) no. 2, p. 283-294
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Artin-Schreier covering; Brauer-Manin obstruction; global field of positive characteristic David Harari and José Felipe Voloch, Descent obstructions and Brauer-Manin obstruction in positive characteristic, J. Inst. Math. Jussieu 12 (2013), no. 3, 545 -- 551.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) bimodule; homotopy groups; Brauer group of equivalence classes of Azumaya algebras; Picard group of isomorphism classes of invertible modules; reduced simplicial Kan-complex; Azumaya complex of a commutative ring J W Duskin, The Azumaya complex of a commutative ring (editor F Borceux), Lecture Notes in Math. 1348, Springer (1988) 107
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) p-divisible formal groups C. Chai, ''A rigidity result for \(p\)-divisible formal groups,'' Asian J. Math., vol. 12, iss. 2, pp. 193-202, 2008.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); Zariski surfaces; unirational surfaces; adjoints; hypersurface
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) quantization correspondence; symmetric algebra; enveloping algebra; Poincaré-Birkhoff-Witt mapping; deformations; formal groups Berger, R.: Algebraic quantization. Lett. Math. Phys.17, 275--283 (1989)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) large Picard groups; counterexamples to the Hasse principle for curves; K3 surfaces Coray, D.; Manoil, C., On large Picard group s and the Hasse principle for curves and \textit{K}3 surfaces, Acta Arith., 76, 2, 165-189, (1996)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; Fuchsian groups; group actions; Jacobian varieties
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; conic bundles; quaternion algebras; ramification data
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Mapping class groups; Moduli spaces; Riemann surfaces; Proceedings; Workshops; Göttingen (Germany); Seattle, WA (USA)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; \(p\)-divisible groups; \(p\)-adic dynamical systems Lubin, J.; Sarkis, G.: Extrinsic properties of automorphism groups of formal groups. J. algebra 315, 874-884 (2007)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; Hasse principle; function fields of genus 1
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); crystalline fundamental group; crystalline Frobenius; de Rham fundamental groups; Tannakian categories; fiber functors
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) integrable derivations; formal power series; actions of 1-dimensional commutative formal groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic exponents; Puiseux expansion; formal series
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Higgs bundles; Riemann surfaces; Morse theory; non-abelian Hodge theory; representations of surface groups Aparcio Arroyo, M; García-Prada, O, Higgs bundles for the Lorentz group, Ill. J. Math., 55, 1299-1326, (2013)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \({\mathbb{Z}}/2\)-graded cohomology theories; K-theory; formal groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) elliptic curve; formal group; ring of characteristic \(p\); homomorphism; height; isogeny Bluher, A. W.: Formal groups, elliptic curves, and some theorems of couveignes. Lecture notes in computer science (1998)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite automorphism groups of compact topological surfaces; Riemann surfaces; Klein surfaces; real forms of a given complex algebraic curve; connected components of the fixed point sets of reflections; antiholomorphic automorphisms; complexified real (M-1)-curves Natanzon, S. M.: Finite groups of homeomorphisms of surfaces, and real forms of complex algebraic curves. (Russian). Trudy Moskov. Mat. Obshch. 51 (1988), 3-53, 258. Translation in Trans. Moscow Math. Soc. (1989), 1-51.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) unibranched singularities of algebraic curves on surfaces; formal power series; irreducibility of Weierstrass polynomials; low multiplicities
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) surfaces in positive characteristic; ideal sheaves; log discrepancies; ACC
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups of schemes; Picard groups Ford, Timothy J.; Harmon, Drake M.: The relative Brauer group and generalized cross products for a cyclic covering of affine space. J. pure appl. Algebra 218, No. 4, 721-730 (2014)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) maximal tori of semisimple adjoint groups; rational surfaces B.È. KUNYAVSKIĬ , A.N. SKOROBOGATOV . - Maximal tori in semi-simple groups and rational surfaces , Uspekhi Mat. Nauk., 1986 , v. 41, N^\circ 4, 217-218 (= Russian Math. Surveys, 1986 , v. 41, N^\circ 4, 177-178). Zbl 0618.14028
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(K3\) surfaces; spherical objects; Bloch-Beilinson conjecture; Chow groups Huybrechts D.: Chow groups and derived categories of K3 surfaces. J. EMS. 12, 1533--1551 (2010)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) elliptic curves; formal groups; derived algebraic geometry DOI: 10.2140/gtm.2009.16.49
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) elliptic genera; elliptic cohomology theory; coefficients; rings of modular forms; complex bordism; formal groups; addition formula for elliptic integrals of the first kind; integrality; divisibility; universal elliptic genus Landweber, P.S.: Elliptic Cohomology and Modular Forms. In: Landweber, P.S. (ed.) Elliptic Curves and Modular Forms in Topology. Proceedings. Princeton 1986. (Lect. Notes Math., vol. 1326, pp. 55--68), Berlin Heidelberg New York: Springer 1988
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) central simple algebras; strong approximation property; commutator subgroups; rational function fields; global fields; Brauer groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hilbert theorem 90 for K2; norm residue homomorphism; roots of unity; K- cohomology groups of Severi-Brauer varieties; \(K_ 2\) of division algebras; second Chow group; cohomology classes with zero restriction A. S. Merkur'ev and A. A. Suslin, ''The norm residue homomorphism,'' Preprint LOMI, P-6-82, Leningrad (1982).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) essential dimension; finite \(p\) groups; central simple algebras; Brauer-Severi varieties Karpenko, NA; Merkurjev, AS, Essential dimension of finite \(p\)-groups, Invent. Math., 172, 491-508, (2008)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) ramification; embedding problem; fundamental group; positive characteristic; formal patching
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surface; symmetry of Riemann surface; asymmetric Riemann surface; pseudo-symmetric Riemann surface; Fuchsian groups; NEC groups; fixed points on Riemann surfaces; fixed point free actions on Riemann surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) abelian varieties; global fields; function fields; \(L\)-function; Birch and Swinnerton-Dyer conjecture; heights; torsion points; Néron models; Brauer-Siegel theorem Hindry, M.; Pacheco, A., An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic, Mosc. Math. J., 16, 1, 45-93, (2016)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) braid groups of Riemann surfaces; configuration space; Galois group; fundamental group Yasutaka Ihara and Masanobu Kaneko, Pro-\? pure braid groups of Riemann surfaces and Galois representations, Osaka J. Math. 29 (1992), no. 1, 1 -- 19.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic surfaces; Kähler manifolds; moduli; deformations; topological methods; fibrations; Kodaira fibrations; Chern slope; automorphisms; uniformization; projective classifying spaces; monodromy; fundamental groups; variation of Hodge structure; absolute Galois group; locally symmetric varieties
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic surfaces; moduli spaces; homotopy type; fundamental groups Bauer, I., Catanese, F.: The moduli space of Keum-Naie surfaces. Group Geom. Dyn. 5(2), 231--250 (2011)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli spaces of real algebraic curves; super Riemann surfaces; super-Fuchsian groups; real algebraic super curves; meromorphic functions of algebraic curves S. M. Natanzon, \textit{Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs} (Transl. Math. Monogr., Vol. 225), Amer. Math. Soc., Providence, R. I. (2004).
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Klein mapping; line congruencies; ruled surfaces; polygonal schema of a surface; homology groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) double cosets; Borel subgroups; simple algebraic groups; algebraically closed field of odd characteristic; centralizer of an involution; untwisted Frobenius map; root systems Lawther, R, Double cosets involving involutions in algebraic groups, Proc. Lond. Math. Soc., 70, 115-145, (1995)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hopf orders; duality; extensions; group algebras; Galois groups; cyclic group rings; \(p\)-adic fields; valuation rings; Greither orders; dual orders; Larson orders; cohomological orders; triangular orders; duality orders; formal groups DOI: 10.1090/S0002-9947-05-03728-1
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Schur index; central simple algebras; Brauer groups; Brauer-Wall groups; Clifford theory; Schur indices; finite groups Turull, A.: Clifford theory with Schur indices. J. Algebra 170, 661--677 (1994)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; \(p\)-divisible groups; Witt vectors; \(p\)-jets spaces Buium, A.: P-jets of finite algebras, I: p-divisible groups. Doc. math. 18, 943-969 (2013)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) seminar; Les Plans-sur-Bex/Switzerland; Brauer groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Calabi-Yau varieties; Dwork family; unit root; formal groups Yu, J.-D., Variation of the unit root along the dwork family of Calabi-Yau varieties, Mathematische Annalen, 343, 53-78, (2009)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer-Wall groups; graded objects; graded Azumaya algebras; graded Brauer group; graded étale cohomology; Brauer-Long groups Caenepeel, S.; Van Oystaeyen, F., \textit{Brauer Groups and the Cohomology of Graded Rings}, 121, (1988), Marcel Dekker, Inc., New York
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hurwitz numbers; Klein surfaces; Frobenius algebras; permutation groups A. V. Alekseevskii and S. M. Natanzon, Russ. Math. Surveys, 61, 767--769 (2006); S. M. Natanzon, ''Disk single Hurwitz numbers,'' arXiv:0804.0242v2 [math.GT] (2008); A. Alexeevski and S. Natanzon, ''Hurwitz numbers for regular coverings of surfaces by seamed surfaces and Cardy-Frobenius algebras of finite groups,'' in: Geometry, Topology, and Mathematical Physics (Amer. Math. Soc. Transl. Ser. 2, Vol. 224, V. M. Buchstaber and I. M. Krichever, eds.), Amer. Math. Soc., Providence, R. I. (2008), pp. 1--25; A. V. Alekseevskii, Izv. Math., 72, 627--646 (2008).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Bernoulli numbers; universal Bernoulli numbers; Hurwitz numbers; abelian functions; algebraic functions; formal groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) minimal model program; generic fibres; del Pezzo surfaces; positive characteristic
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; \(p\)-divisible groups; Dieudonne modules; preabelian categories
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann and Klein surfaces; groups of automorphisms
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Parshin's conjecture; Miyaoka-Yau inequality; surfaces of general type; fields of positive characteristic Jang, J, Generically ordinary fibrations and a counterexample to parshin's conjecture, Mich. Math. J., 59, 169-178, (2010)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) central simple algebras; Severi-Brauer varieties; special linear groups; motives; motivic cohomology
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) symmetric domain; automorphisms; Chern heights; intersection theory on surfaces with singularities
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) singular fibre; characteristic \(p\); surfaces fibered in curves; minimal fibration; Jacobian fibrations V. Kh. Nguyen, On families of curves over \(\mathbf{P}^{1}\) with small number of singular fibres, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 4, 459-463.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; elementary symmetric polynomial
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer-Picard group; finite tensor category; symmetric monoidal category; cohomology groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) commutative ring spectra; derived algebraic geometry; moduli spaces; Azumaya algebras; Brauer groups Antieau, Benjamin; Gepner, David, Brauer groups and étale cohomology in derived algebraic geometry, Geom. Topol., 1465-3060, 18, 2, 1149-1244, (2014)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Dieudonné crystals; displays; formal groups; \(p\)-divisible groups W. Messing, ''Travaux de Zink,'' in Séminaire Bourbaki. Vol. 2005/2006, , 2007, vol. 311, p. exp. no. 964, ix, 341-364.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) surfaces with positive irregularity; Koszul cohomology groups; positive Kodaira dimension Gallego, F.J.; Purnaprajna, B.P., Syzygies of projective surfaces: an overview, J. Ramanujan Math. Sco., 14, 65-93, (1999)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Schur polynomials; Schur functors; representation theory of classical groups; resolving generic determinantal ideals; characteristic free; divided power ideals Kraśkiewicz, W.; Pragacz, P., Foncteurs de Schubert, C. R. Acad. Sci. Paris Sér. I Math., 304, 9, 209-211, (1987)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer algebras; cellular algebras; invariant theory; Schur-Weyl duality; orthogonal groups; idempotents; multiplicities; irreducible representations Lehrer, G. and Zhang, R., ' The second fundamental theorem of invariant theory for the orthogonal group', \textit{Ann. of Math.}176 ( 2012) 2031- 2054.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) divisor class groups; generic; splittable; Zariski surfaces
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) comparison theory for \(p\)-adic étale cohomology and crystalline cohomology; characteristic \(p\); \(p\)-divisible groups Faltings, G, Integral \(p\)-adic Hodge theory over very ramified valuation rings, J. Am. Math. Soc., 12, 117-144, (1999)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite simple groups; Beauville surfaces; simple algebraic groups; conjugacy classes Garion S., Larsen M. and Lubotzky A., Beauville surfaces and finite simple groups, J. Reine Angew. Math. 666 (2012), 225-243.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) embeddings of central simple algebras; exponent; index; degree; invariants; Brauer groups; number fields DOI: 10.1016/0021-8693(90)90277-U
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) isotriviality; effective Mordell; semiabelian variety; positive characteristic; survey of diophantine geometry; bounding the heights of rational points on curves over function fields; semiabelian varieties; Roth's theorem Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Chow groups; Severi-Brauer variety
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Vandiver conjecture; p-adic abelian L-functions; research survey; explicit reciprocity laws; cyclotomic fields; Jacobi sums; Iwasawa invariant; Iwasawa theory; Bernoulli numbers; Gauss sums; Stickelberger ideals; distribution; Bernoulli measure; analytic class number formula; p-adic analytic class number formula of Leopoldt; p-adic class group; Spiegelungssatz; Lubin-Tate formal groups; projective limit of local unit groups; cyclotomic units S.~Lang, \emph{Cyclotomic fields}, Springer-Verlag, New York-Heidelberg, 1978, Graduate Texts in Mathematics, Vol. 59. zbl 0395.12005; MR0485768
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) K3-surfaces; integral symmetric bilinear form; involution; system of invariants; genus; isomorphism classes; real nonsingular projective algebraic variety; new invariants of real algebraic surfaces; relations; standard invariants; Euler characteristic Nikulin V.V. (1984). Involutions of integral quadratic formsand their applications to real algebraic geometry. Math. USSR Izv. 22: 99--172
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) principally polarized abelian scheme; Witt vectors; de Rham cohomology groups; principally polarized liftings; Tate class; models of Shimura varieties; mixed characteristic Noot, R., \textit{models of Shimura varieties in mixed characteristic}, J. Algebraic Geom., 5, 187-207, (1996)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic models for spaces; \(q\)-formal spaces; cohomology jump loci; Sasakian manifolds; filtered-formal fundamental groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) triple-point-free degenerations of surfaces; zero Kodaira number; classification of degenerations; Euler characteristic of a complete divisor Crauder, B., Morrison, D.: Triple-point-free degenerations of surfaces with Kodaira number zero. In: Friedman, R., Morrison, D. (eds.) The Birational Geometry of Degenerations. Volume 29 of Progress in Mathematics, pp. 353-386. Birkhäuser, Basel (1983)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) equivariant characteristic class; generating series formula; characteristic classes; orbifold classes; Hirzebruch- and Lefschetz-Riemann-Roch; external and symmetric products of varieties; representations of symmetric groups Maxim, L.; Schürmann, J., Cohomology representations of external and symmetric products of varieties
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; torsors; abelian varieties; Albanese varieties
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) local fields; formal groups; Hilbert symbol; Hazewinkel classification
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) K-groups of Severi-Brauer schemes; conical fibrations
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) versal deformation rings; representations of finite groups; proper embedding problems; Brauer trees Bleher F.M., Chinburg T. (2003). Applications of versal deformations to Galois theory. Comment. Math. Helv. 78:45--64
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Kleinian groups; Riemann surfaces; Teichmüller theory; quasiconformal deformation
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) non-Euclidean crystallographic groups; pseudo-real Riemann surfaces; \(p\)-fold coverings of the sphere Bujalance, E.; Costa, AF, Automorphism groups of cyclic \(p\)-gonal pseudo-real Riemann surfaces, J. Algebra, 440, 531-544, (2015)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic K-theory; topological K-theory; Brauer groups; Serre problem Suslin A. A., Current Problems in Mathematics 25 pp 115-- (1984)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Cremona group; simple groups; groups of birational transformations; Kähler surfaces; small cancellation
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; motives; Hyperkähler varieties; non-symplectic automorphisms; \(K3\) surfaces; Calabi-Yau varieties; Bloch-Beilinson conjectures; weak splitting property; multiplicative Chow-Künneth decomposition 15. R. Laterveer, About Chow groups of certain hyperkähler varieties with non-symplectic automorphisms, to appear in Vietnam Journal of Mathematics.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); Galois groups of unramified covers of projective curves K. F. Stevenson, Galois groups of unramified covers of projective curves in characteristic \(p\), Journal of Algebra 44, (To Appear).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Rumely's theorem; Zhang's arithmetic ampleness theorem; Bost's extension of Arakelov geometry; integral points; arithmetic surfaces; heights; generalization of the Fekete-Szegő theorem [2] Autissier (P.).-- Points entiers sur les surfaces arithmétiques, Journal für die reine und angewandte Mathematik 531, 201-235 (2001). &MR~18 | &Zbl~1007.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) singularities; coverings; fundamental groups; surfaces; mapping class group
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) generalized Raynaud surfaces; surfaces of general type; global vector fields; characteristic p W. Lang, ``Examples of surfaces of general type with vector fields'' in Arithmetic and Geometry, Vol. II , Progr. Math. 36 , Birkhäuser, Basel, 1983, 167-173.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hasse principle; degree 4 del Pezzo surfaces; \(K3\) surfaces; Brauer-Manin obstruction Dong Quan Nguyen Ngoc, ``The arithmetic of certain del Pezzo surfaces and K3 surfaces'', J. Théor. Nombres Bordx.24 (2012) no. 2, p. 447-460
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