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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) finite fundamental groups; invariants of surfaces of general type B. Moishezon and M. Teicher, Finite fundamental groups, free over \(\mathbb{Z}\)/c\(\mathbb{Z}\), Galois covers of \(\mathbb{C}\)\(\mathbb{P}\) 2, Mathematische Annalen 293 (1992), 749--766.
| 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) polynomial formal groups; Hopf algebras over valuation rings
| 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) primary Kodaira surfaces; cohomological Brauer 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) abelian varieties; \(K3\) surfaces; complex multiplication; Brauer 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) thickening; patching; formal geometry; Shafarevich conjecture; patching problems; fundamental groups of algebraic curves; Abhyankar conjecture D. Harbater and K. F. Stevenson, ''Patching and thickening problems,'' J. Algebra, vol. 212, iss. 1, pp. 272-304, 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) Galois module structure of cohomology groups; Brauer character Shōichi Nakajima, Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties, J. Number Theory 22 (1986), no. 1, 115 -- 123.
| 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) normalizations of surfaces with ordinary singularities; characteristic map; infinitesimal deformations; number of moduli; Enriques surfaces; deformations of holomorphic maps S. TSUBOI, On the number of moduli of non-singular normalizations of surfaces wit ordinary singularities, ibid. 32 (1983), 23-46.
| 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) \(p\)-adic; cohomology; crystalline cohomology; formal groups; \(p\)-adic representations; Galois representations; Dieudonné modules T. Liu, On lattices in semi-stable representations: A proof of a conjecture of Breuil, Compos. Math. 144 (2008), no. 1, 61-88.
| 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; bordered Riemann surfaces Bujalance, E., Gromadzki, G., Singerman, D.: On the number of real curves associated to a complex algebraic curve. Proc. Am. Math. Soc. 120(2), 507--513 (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) complex algebraic curves; Teichmüller theory; elliptic curves; modular forms; Picard groups; hyperbolic geometry; classification of compact Riemann surfaces; moduli theory of compact Riemann surfaces Richard Hain, Moduli of Riemann surfaces, transcendental aspects, School on Algebraic Geometry (Trieste, 1999) ICTP Lect. Notes, vol. 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000, pp. 293 -- 353.
| 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) division algebras; Brauer groups; rational function fields; ramification maps; central simple algebras A. S. Sivatski, L. H. Rowen and J.-P. Tignol, Division algebras over rational function fields in one variable, in Algebra and Number Theory, Proceedings of the Silver Jubilee Conference 2003, Hindustan Book Agency, New Delhi, 2005, pp. 158--180.
| 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 fundamental groups; invariants of surfaces of general type Boris Moishezon and Mina Teicher, Finite fundamental groups, free over \?/\?\?, for Galois covers of \?\?², Math. Ann. 293 (1992), no. 4, 749 -- 766.
| 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) \(K\)-cohomology; Chow groups; Brauer-Severi variety Merkurjev, A. S.: Certain K-cohomology groups of Severi-Brauer varieties. Proc. Symp. Pure Math. 58.2 (1995), 319--331
| 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) cohomology groups; Schubert cells; semi-simple complex algebraic group; flag variety; primitive ideal; cotangent bundle; nilpotent orbit; characteristic varieties; Harish-Chandra modules W. Borho and J.-L. Brylinski, ''Differential Operators on Homogeneous Spaces. III,'' Invent. Math. 80, 1 (1985).
| 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 curves; branched coverings of Riemann surfaces; Hurwitz equivalence; braid groups; monodromy
| 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-Mazur functor; formal group law; logarithm; Fermat hypersurface; K3-surface; formal Brauer group J. Stienstra, Formal group laws arising from algebraic varieties , Amer. J. Math. 109 (1987), no. 5, 907-925. JSTOR:
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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) projective Schur groups; Brauer groups; rational function fields in one variable; cyclic algebras; Kummer extensions; projective Schur algebras; Abelian splitting fields E. Aljadeff and J. Sonn,On the projective Schur group of a field, Journal of Algebra178 (1995), 530--540.
| 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) canonical heights of rational points; Del Pezzo surfaces Yuri Tschinkel, Finite heights and rational points on surfaces, Advances in number theory (Kingston, ON, 1991) Oxford Sci. Publ., Oxford Univ. Press, New York, 1993, pp. 319 -- 329.
| 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) del Pezzo surfaces; quadric surfaces; Brauer group; Sarkisov links
| 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) Kodaira vanishing; log 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) arithmetic surfaces; fibers at infinity; spectral triples; \(L\)-factors; Schottky groups C. Consani and M. Marcolli, ''Noncommutative geometry, dynamics, and -adic Arakelov geometry,'' SelectaMath. (N.S.) 10(2), 167--231 (2004).
| 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; motives; Chow motives; algebraic surfaces; Chow groups; triangulated categories; birational motives B. Kahn, J. P. Murre, and C. Pedrini, ''On the transcendental part of the motive of a surface'' in Algebraic Cycles and Motives, Vol. 2, London Math. Soc. Lecture Note Ser. 344, Cambridge Univ. Press, Cambridge, 2007, 143--202.
| 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) Albanese map; 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) pairing-based cryptography; elliptic curves; Kummer surfaces; Mordell-Weil 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) algebraic stacks; Deligne-Mumford stacks; quotient stacks; orbifolds; moduli spaces; Brauer groups of schemes; geometric invariant theory Kresch, A., \textit{on the geometry of Deligne-Mumford stacks}, Algebraic geometry (Seattle 2005), part 1, 259-271, (2009), American Mathematical Society, Providence, RI
| 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) admissibility; Brauer groups; division algebras; embedding problems; Galois groups; 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) Ritt formal group; Hopf algebra; formalization of algebraic structure; algebra of differential operators; Lie algebras of formal groups W. Nichols and B. Weisfeiler, ''Differential formal groups of J. F. Ritt,''Am. J. Math.,104, 943--1005 (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) torsion Kummer extensions; Lubin-Tate groups; formal groups; integers of local extensions; Galois modules; totally ramified abelian extensions; power series; group ring M. Taylor, ''Formal groups and the Galois module structure of local rings of integers,'' J. Reine Angew. Math., 358, 97--103 (1985).
| 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) differential algebra; linear algebraic groups and torsors; patching; Picard-Vessiot theory; embedding problems; inverse differential Galois problem; 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) equidistribution of the values of exponential sums; arithmetic surfaces; Sato-Tate conjecture; \(\ell \)-adic geometric monodromy groups; differential Galois groups Katz N.: Exponential sums over finite fields and differential equations over the complex numbers: some interactions. Bull. A.M.S 23, 269--309 (1990)
| 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) derived equivalences; \(K3\) surfaces; automorphisms; 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) \(A^1\)-fibrations; Danielewski surfaces; Automorphism groups; Extension of automorphisms A. Dubouloz, P.-M. Poloni, On a class of Danielewski surfaces in affine 3-space, J. Algebra 321 (2009), no. 7, 1797--1812.
| 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; formal modules; stable homotopy; Morava stabilizer groups; stable homotopy 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) \(p\)-adic field; relative Lubin-Tate formal groups; \(p\)-adic interpolating function; generalized Bernoulli numbers; Leopoldt's formula; \(p\)-adic \(L\)-function
| 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 grous; formal modules; multidimensional 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) Jacobians; Shafarevich-Tate group; class groups; isogenies; Kummer surfaces; genus 2 curves Bruin, Nils; Flynn, E. Victor; Testa, Damiano, Descent via \((3,3)\)-isogeny on Jacobians of genus 2 curves, Acta Arith., 165, 3, 201-223, (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) cubic surfaces; automorphisms; 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) genus one curves; relative Brauer groups; torsors Creutz, B., Relative Brauer groups of torsors of period two, J. Algebra, 459, 109-132, (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) Lubin-Tate formal groups; Hilbert pairing; symbol
| 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) Galois cohomology; number fields; elliptic curves; abelian varieties; function fields; profinite groups; class field theory; formal groups; Milnor K-groups; Lubi-Tate 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) Langlands reciprocity; algebraic surfaces; Hecke operators for vector bundles; quantum toroidal algebra; geometric construction of affine quantum groups V. Ginzburg, M. Kapranov and E. Vasserot, \textit{Langlands reciprocity for algebraic surfaces}, \textit{Math. Res. Lett.}\textbf{2} (1995) 147 [q-alg/9502013].
| 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) Klein surfaces; bordered Klein surfaces; automorphisms of Klein surfaces; NEC-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) motives; representation theory; positive characteristic; reductive 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) Adams-Novikov spectral sequence; stable homotopy groups of spheres; Adams spectral sequence; Brown-Peterson homology; Lambda-algebra; complex bordism; formal group law theory; periodic family; chromatic spectral sequence; Morava K-theories; Kervaire invariant 1 elements; Hopf- algebroids; Massey products; Steenrod powers D. C. Ravenel, \textit{Complex Cobordism and Stable Homotopy Groups of Spheres}, Pure and Applied Mathematics, Vol. 121, Academic Press, Orlando, FL, 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) commutative algebraic groups; linear forms; effective results; heights C. Fuchs and D. H. Pham, ''Commutative algebraic groups and \(p\)-adic linear forms,'' http://arxiv.org/pdf/1404.4209v1.pdf (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) automorphism groups of compact Riemann surfaces; Fuchsian groups; branched coverings
| 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) polynomial formal groups; formal groups; Hilbert symbol; local rings
| 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 norm residue symbol; Lubin-Tate formal groups; formal commutative groups A. I. Madunts, ''Convergence of sequences and series in multidimensional complete fields,'' Author's summary of the PhD Thesis, St. Petersburg (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) arithmetic Chow groups; characteristic classes; virtual hermitian vector bundles; Ray-Singer analytic torsion Gillet, H.; Soulé, C., Analytic torsion and the arithmetic Todd genus, Topology, 30, 1, 21-54, (1991), With an appendix by D. Zagier
| 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; Tate-Shafarevich groups; Jacobian variety; index and period of a curve; Cassels-Tate pairing González-Avilés C.: Brauer groups and Tate-Shafarevich groups. J. Math. Sci. Univ. Tokyo 10, 391--419 (2003)
| 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; anti-symplectic involution; \(K3\) surfaces; (double) EPW sextics; Beauville's splitting principle; multiplicative Chow-Kenneth decomposition; spread of algebraic cycles
| 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 curves; local ground fields; rigid analytic geometry; fundamental groups; formal methods
| 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; false hyperelliptic surface; quasi-hyperelliptic surfaces Takeda, Y., False hyperelliptic surfaces with section, Math. Nachr., 167, 313-329, (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) minimal Enriques surface; Tate conjecture; Shafarevich-Tate groups; finiteness of the Brauer group S. G. Tankeev, ''On the Brauer group of an arithmetic scheme,'' Izv. Ross. Akad. Nauk Ser. Mat. 65(2), 155--186 (2001) [Izv. Math. 65 (2), 357--388 (2001)].
| 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 surfaces; cubic surfaces; intersections of quadrics; singular del Pezzo surfaces; classification into birational equivalence classes; rationality of the surfaces; Hasse principle; Iskovskih surfaces; Chow group; Brauer group Daniel François Coray & Michael A. Tsfasman, ``Arithmetic on singular Del Pezzo surfaces'', Proc. Lond. Math. Soc.57 (1988) no. 1, p. 25-87
| 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; degenerate curves; elliptic curve cryptosystems; fault attacks; countermeasures
| 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 surfaces; classification; positive characteristic; arithmetic curves
| 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; central simple algebras; projective linear groups; lattices; essential \(p\)-dimension; Brauer groups; Severi-Brauer varieties; \(R\)-equivalence; Chow groups; character groups of algebraic tori A. Meyer, Z, Reichstein, An upper bound on the essential dimension of a central simple algebra, J. Algebra 329 (2011), 213--221.
| 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) relative Lubin-Tate formal groups; class field theory; Honda formal group; type of formal group O. V. Demchenko, ''New relationships between Lubin--Tate formal groups and Honda formal groups,'' Algebra Analiz, 10, No. 5, 77--84 (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) group extensions; fundamental groups; closed surfaces F E A Johnson, A rigidity theorem for group extensions, Arch. Math. \((\)Basel\()\) 73 (1999) 81
| 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 \(p\); minimal surfaces of general type
| 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 invariant; Mordell-Weil groups of quasi-elliptic surfaces; rational unirational quasi-elliptic surfaces; characteristic~3; Néron-Severi groups; K3 surfaces Ito, H., The Mordell--Weil groups of unirational quasi-elliptic surfaces in characteristic 3, Math. Z. 211 (1992), 1--39.
| 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; Schur indices; Hasse invariants; Brauer equivalence; \(G\)- algebras
| 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) solvable fundamental group; Veronese surfaces; complement of branch curves; solvable groups; Veronese embedding Teicher M. The fundamental group of a \(\mathbb{C}\)\(\mathbb{P}\)2 complement of a branch curve as an extension of a solvable group by a symmetric group. Math Ann, 314: 19--38 (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) algebraic K-theory; topological K-theory; Brauer groups; Serre problem Suslin, A. A.: Algebraic K-theory of Fields, International Congress of Mathematics (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) Azumaya algebras; Brauer groups; Brauer-Manin obstructions; Hasse principle; quartic curves; curves of genus 1; Tate-Shafarevich group DOI: 10.1007/s00605-012-0387-8
| 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) normal varieties; fundamental groups; local systems; twisted cohomology; resonance varieties; characteristic varieties; Malcev Lie algebras, Hodge structure Arapura D., Dimca A. and Hain R., On the fundamental groups of normal varieties, Commun. Contemp. Math. 18 (2016), no. 4, Article ID 1550065.
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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 Galois covering surfaces; fundamental groups; Chern class Yamazaki, T., Yoshida, M.: On Hirzebruch's examples of surfaces withc 1 2 =3c 2. Math. Ann.266, 421-431 (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) moduli of compact Riemann surfaces of a given genus; surfaces with automorphisms; Fuchsian groups; topological and conformal conjugacy of group actions on surfaces; Teichmüller space Weaver, A.: Stratifying the space of moduli. Teichmüller theory and moduli problem, pp. 597-618. In: Ramanujan Mathematical Society Lecture Notes Series, vol. 10. Ramanujan Mathematical Society, Mysore (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) rationality problems; Noether's problem; crystallographic groups; integral representations; unramified Brauer groups; algebraic tori
| 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 reductive groups; Deligne-Lusztig theory; Deligne-Lusztig varieties; Brauer trees
| 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) Galois module structure; Hopf orders; field extensions; local fields; finite groups; Galois theory over Hopf algebras; cocommutative Hopf algebras; formal groups N. Byott, ''Monogenic Hopf Orders and Associated Orders of Valuation Rings,'' J. Algebra, 275, 575--599 (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) Brauer group; Brauer-Manin obstruction; del Pezzo surfaces Bright, M. J., \textit{bad reduction of the Brauer-Manin obstruction}, J. Lond. Math. Soc. (2), 91, 643-666, (2015)
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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) ramification structures; finite \(p\)-groups; Beauville structures; Beauville groups; Beauville surfaces; conjugacy classes N. Boston, A survey of Beauville \textit{p}-groups, Beauville Surfaces and Groups, Springer Proc. Math. Stat. 123, Springer, Cham (2015), 35-40.
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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) Steenrod algebras; cohomology of groups; characteristic classes; algorithms; computation; Chow rings; cohomology rings; Stiefel-Whitney classes; Steenrod operations
| 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; Châtelet surfaces; Brauer-Manin obstruction
| 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) hyper-Kähler varieties; Brauer groups; birational maps
| 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-motif of the Severi-Brauer variety; cohomology groups Karpenko, N.A.: Grothendieck Chow motives of Severi--Brauer varieties (Russian). Algebra Anal. 7(4), 196--213 (1995) (transl. in St. Petersbg. Math. J. 7(4), 649--661 (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) Brauer groups; étale 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) singularities; coverings; fundamental groups; surfaces; Coxeter and Artin 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) surfaces of general type; tautness; deformations; finite characteristic; algebraic fundamental group G. Urzúa, \textit{Identifying neighbors of stable surfaces}, Annali della Scuola Normale Superiore di Pisa, to appear. arXiv:1310.4353 [math.AG].
| 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 group; Tate module
| 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; involution of orthogonal type; \(\sigma\)- symmetric elements; reduced norm; similitudes; quaternion algebras; discriminant extensions; Clifford algebras; algebras with involution; Clifford bimodules; Clifford groups; homogeneous varieties; semisimple linear algebraic groups; Brauer groups Merkurjev, A.; Tignol, J., The multipliers of similitudes and the Brauer group of homogeneous varieties, Journal für die Reine und Angewandte Mathematik, 461, 13-47, (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) Fuchsian groups; Kleinian groups; Schottky groups; Riemann surfaces; hyperelliptic surfaces Gilman, Jane; Keen, Linda, The geometry of two generator groups: hyperelliptic handlebodies, Geom. Dedicata, 110, 159-190, (2005)
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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) conjugacy problem in Artin groups; classifications of surfaces; word problem in braid groups; conjugates of powers of generators; Artin groups of spherical type; algorithms
| 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) zero-cycles; Brauer-Manin obstruction; bielliptic 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) arithmetic of Châtelet surfaces; Hasse principle; weak approximation; Brauer-Manin obstruction; 0-cycles; rational equivalence; universal torseur Colliot-Thélène, J.-L.; Sansuc, J.-J.; Swinnerton-Dyer, P., Intersections of two quadrics and Châtelet surfaces. II, J. Reine Angew. Math., 374, 72-168, (1987)
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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) Poincaré polynomials; complex algebraic varieties; complex de Rham cohomology; Euler characteristic; Grothendieck rings; regular semisimple elements; complex connected reductive algebraic groups; Lie algebras; maximal tori; toral algebras; \(\ell\)-adic cohomology; numbers of rational points G. I. Lehrer, The cohomology of the regular semisimple variety, J. Algebra 199(2) (1998), 666\Ndash689. \small\texttt DOI: 10.1006/jabr.1997.7195.
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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) algebraic curves; Riemann surfaces; moduli spaces; cohomology rings; Chow rings; divisor classes; homology groups; Picard groups; Teichmüller theory; Gysin spectral sequence Arbarello E., Grundlehren der Mathematischen Wissenschaften 268, in: Geometry of Algebraic Curves (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 \(K3\) surface; torsion section; conjectures of Shioda and Artin; Artin invariant; height of a formal Brauer group; Mordell-Weil group; supersingular \(K3\) surface Ito, Hiroyuki; Liedtke, Christian, Elliptic K3 surfaces with \(p^n\)-torsion sections, J. Algebraic Geom., 1056-3911, 22, 1, 105-139, (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) Morita matrix rings; commutative MM rings; full matrix rings; finitely-generated projective modules; polynomial identities; von Neumann regular algebras; rings of formal power series; partial quotient rings; Picard groups; ideal class groups P. Merisi and P. Vámos, On rings whose Morita class is represented by matrix rings , J. Pure Appl. Alg. 126 (1998), 297-315.
| 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-dimensional central division algebras; rational function fields; relative Brauer groups; Picard groups DOI: 10.1016/j.jpaa.2010.06.030
| 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 independence over function fields; Schanuel conjecture; Hasse-Schmidt derivations; 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) del Pezzo surfaces; Brauer-Manin obstructions
| 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) automorphisms of surfaces; NEC groups; universal covering transformation groups; ovals; fixed-point sets; cyclic automorphism groups; Klein surfaces; numbers of fixed points Izquierdo, M.; Singerman, D.: On the fixed-point set of automorphisms of non-orientable surfaces without boundary. Geom. \& topol. Monogr. 1, No. The Epstein Birthday Schrift, 295-301 (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) Manin's conjecture; global field of positive characteristic; projective plane; blowing-up universal torsor; Cox ring; heights ---, Comptage de courbes sur le plan projectif éclaté en trois points alignés, Ann. Inst. Fourier (Grenoble) 59 (2009), 1847-1895.
| 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) representation varieties; fundamental groups of compact orientable surfaces; rational variety [3] Benyash-Krivetz V.\ V., Rapinchuk A.\ S., Chernousov V.\ I., ''Representation varieties of the fundamental groups of compact orientable surfaces'', Israel J. Math, 93 (1996), 29--71
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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) characteristic p; Néron-Severi group; codimension one stratification of the moduli space of supersingular K3 surfaces; Lefschetz number T. Shioda, ``Supersingular K3 surfaces with big Artin invariant'', J. Reine Angew. Math., 381 (1987), 205 -- 210
| 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) nonarchimedean dynamical systems; iterates; \(p\)-adic analytic transformation; formal groups; \(p\)-adic open unit disk Lubin, J., Nonarchimedean dynamical systems, \textit{Compos. Math.}, 94, 321-346, (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) essential dimension; essential \(p\)-dimension; central simple algebras; Brauer groups; cyclic algebras; algebraic tori; principal homogeneous spaces; torsors J. Milne, \textit{Étale Cohomology}, Princeton University Press, Princeton, N.J., 1980. Russian transl.: Дж. Милн, \textit{Эмальныe когомологии}, Миp, M., 1983.
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