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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) Galois actions; quasiplatonic curves; triangle curves; Beauville surfaces; regular dessins; triangle groups; projective completions; general type surfaces; moduli spaces González-Diez, Gabino; Jaikin-Zapirain, Andrei, The absolute Galois group acts faithfully on regular dessins and on Beauville surfaces, Proc. Lond. Math. Soc. (3), 111, 4, 775-796, (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) vector bundles on surfaces; formal neighborhoods; curve in a surface DOI: 10.1216/rmjm/1021477243
| 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-Galois extension; formal groups; principal homogeneous spaces Moss, D. J.: Hopf Galois Kummer theory of formal groups. Amer. J. Math. 118, 301-318 (1996)
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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) space of real points; number of components; number of loops; real curve; Picard group; Brauer group; étale cohomology groups C. Pedrini and C. Weibel, Invariants of real curves , préprint, 1991.
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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) quotients by vector fields; characteristic p; discriminantal; locus; semi-simple derivations; quotient; singularities; Cohen-Macaulay singularities; p-radical descent; class groups of normal domains Aramova, A., Avramov, L.: Singularities of quotients by vector fields in characteristicp. 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) unramified cohomology; Brauer groups; central division algebras; exponents; indices; smooth projective varieties; biquaternion algebras; function fields Colliot-Thélène, J.-L., Exposant et indice d'algèbres simples centrales non ramifiées, Enseign. Math. (2), 48, 1-2, 127-146, (2002)
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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; negative étale Euler number; falsely ruled surfaces; Albanese map -, On the Euler number of algebraic surfaces in characteristic \( p\), Amer. J. Math. 108 (1980), 511-516.
| 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; Brauer group; Picard group; Tate conjecture
| 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; Brauer groups; class groups; Krull domains DOI: 10.1016/0022-4049(84)90007-0
| 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 action; quotient singularity; formal power series ring; epimorphism of Grothendieck groups; ramification locus E.D.N. Marcos, Grothendieck groups of quotient singularities,Trans. Amer. Math. Soc 332 (1992) 93--119
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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) fibered surfaces; 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) Vojta's conjecture; rational surfaces; integral points; blowups; multiplicative groups; greatest common divisors; Farey sequences Y. Yasufuku, Integral points and Vojta's conjecture on rational surfaces, Trans. Amer. Math. Soc. 364 (2012), no. 2, 767-784.
| 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) Yetter-Drinfel'd modules; Azumaya algebras; Brauer groups; Brauer-Long groups; exact sequences; Drinfel'd doubles; Hopf algebra automorphisms; Sweedler Hopf algebras; pointed Hopf algebras F. Van Oystaeyen and Y. Zhang, Embedding the Hopf automorphism group into the Brauer group, Canadian Mathematical Bulletin 41 (1998), 359--367.
| 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 classes; Galois representation theory; explicit Brauer induction; stable homotopy theory; Artin L-functions Snaith, V. P.: Topological methods in Galois representation theory. Canad. math. Soc. monograph (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) projective complex varieties; cohomology groups; Brauer groups; function fields; quaternion algebras; biquaternion division algebras; Azumaya algebras; equivariant cohomology Andrew Kresch, Hodge-theoretic obstruction to the existence of quaternion algebras, Bull. London Math. Soc. 35 (2003), no. 1, 109 -- 116.
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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) \(K3\) surfaces; transcendental Brauer group; Brauer; Manin obstructions; cubic fourfolds; weak approximation B. Hassett, A. Várilly-Alvarado, P. Varilly, Transcendental obstructions to weak approximation on general K3 surfaces. Adv. Math. 228(3), 1377-1404 (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) Brauer groups; twisted \(K\)-theory; period-index problems B Antieau, B Williams, The topological period-index problem over \(6\)-complexes, to appear in J. Top. Online First
| 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) fundamental groups; characteristic varieties Artal, E., Cogolludo-Agustín, J. I. and Libgober, A.: Depth of characters of curve complements and orbifold pencils. In Proceedings of the De Giorgi period in Pisa. Configuration Spaces: Geometry, Combinatorics, and Topology, 81-109. Publications of the Scuola Normale Superiore 14, Edizioni della Normale, Pisa, 2012.
| 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) crossed products; Brauer group; second Amitsur cohomology group; Picard groups; kernel functor associated to localization
| 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 theory; integral comparison theorem; smooth formal scheme; perfectoid ring; mixed-characteristic; Breuil-Kisin-Fargues modules; Koszul complex; relative de Rham-Witt complex; \(q\)-De~Rham complex; PD (puissances divisées)
| 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) étale cohomology; étale fundamental group; positive characteristic; tensor invariants; semisimplicity; algebraic groups; big monodromy; Tate conjecture
| 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) Coxeter groups; parabolic subgroups; Lorentzian lattices; \(K3\) surfaces; automorphism groups Borcherds, R.E., Coxeter groups, Lorentzian lattices, and \textit{K}3 surfaces, Int. math. res. not. IMRN, 19, 1011-1031, (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) formal 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) extremal elliptic surfaces; characteristic 3; characteristic 2; unirational surfaces doi:10.1007/s002290070039
| 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; \((-1)\)-curves; Castelnuovo's rationality criterion; characteristic 2
| 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) fibered algebraic surfaces with low slope; image of fundamental groups Xiao, G., \textit{fibered algebraic surfaces with low slope}, Math. Ann., 276, 449-466, (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) algebraic curves; positive characteristic; automorphism 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) \(\mathcal D\)-module; duality; holonomy; Frobenius morphism; cohomological dimension; characteristic \(p\); rigid cohomology; formal scheme; sheaves of differential operators Virrion, Anne, Dualité locale et holonomie pour les \(\mathcal{D}\)-modules arithmétiques, Bull. Soc. Math. France, 128, 1, 1-68, (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) abelian varieties; heights; global fields; Brauer-Siegel theorem; Birch and Swinnerton-Dyer conjecture
| 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) rings of invariants; graded rings; character groups; symmetric groups; ring of symmetric functions; coordinate rings; characteristic isomorphism; character theory of symmetric groups; Young subgroups; generalized Schur functions; trace functions Stephen Donkin (1993). Invariant functions on matrices. \textit{Mathematical Proceedings of the Cambridge Philosophical Society}\textbf{113}, 23-43. ISSN 1469-8064. URL http://journals.cambridge.org/article_S0305004100075757.
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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) Grothendieck-Brauer group; del Pezzo surface; Brauer-Manin obstruction; diagonalisable surfaces; Brauer class; evaluation map
| 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) monodromy groups; Guralnick-Thompson conjecture; finite simple groups; compact Riemann surfaces; nonabelian composition factors; primitive permutation groups; numbers of orbits; finite classical groups Frohardt, D; Magaard, K, Composition factors of monodromy groups, Ann. Math., 154, 327-345, (2001)
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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) quasi-Kähler manifold; 3-manifolds; cut number; 1-formal group; corank; isotropy index; cohomology ring; characteristic variety; resonance variety; isolated surface singularities; Brieskorn singularities Dimca, A; Papadima, S; Suciu, A, Quasi-Kähler groups, 3-manifold groups, and formality, Math. Z., 268, 169-186, (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) \(t\)-modules; \(t\)-motive; formal \(t\)-modules; admissible \({\mathcal R}_ K\)- modules; \(p\)-divisible group; group schemes; Tate module; Tate conjecture; equal characteristic; Drinfeld modules; higher-dimensional analogs G. W. Anderson, ''On Tate modules of formal \(t\)-modules,'' Internat. Math. Res. Notices, iss. 2, pp. 41-52, 1993.
| 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; power series; quadratic reciprocity law; cubic reciprocity law
| 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; Brauer groups of schemes; Topoi
| 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; positive characteristic; automorphism groups Giulietti, M.; Korchmáros, G., Algebraic curves with many automorphisms
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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) linearly reductive formal groups; multiplicative formal groups; Hopf 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) algebraic groups; linear algebraic group; classification of BN-pairs; group actions; quotient groups; parabolic subgroups; Borel subgroups; characteristic \(p\); Frobenius maps Geck, M.,''An introduction to algebraic geometry and algebraic groups,'' Oxford Graduate Texts in Mathematics 10, Oxford Univer sity Press, Oxford, 2003.
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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) hyperelliptic surface; NEC groups; Klein surfaces Estrada, B., 2000). Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces, Ann. Acad. Sci. Fenn. Math., 25, 439--456.
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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) Schur index; Schur groups; faithful characters; \(q\)-local index; Brauer-Witt theorem; irreducible characters; finite groups; exceptional Schur groups P. Schmid, Schur indices and Schur groups. J. Algebra 169, 226--247 (1994).
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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; purely inseparable covering of exponent 1; affine Zariski surfaces Miyanishi, M.; Russell, P.: Purely inseparable coverings of exponent one of the affine plane. J. pure appl. Algebra 28, 279-317 (1983)
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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 cycles; discrete series representations; connected real rank one linear groups; semisimple Lie algebras; moment map; flag variety; multiplicity; Harish-Chandra parameters Jen-Tseh Chang, Characteristic cycles of discrete series for \?-rank one groups, Trans. Amer. Math. Soc. 341 (1994), no. 2, 603 -- 622.
| 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) Merkurev-Seislin theorem; Quillen-Lichtenbaum conjectures; algebraic K- theory of fields; Brauer-Severi varieties; Milnor K-groups; Bloch's group; Chow groups A. A. Suslin, ''Algebraic \(K\)-theory of fields,'' in Proceedings of the International Congress of Mathematicians, Vol. 1, 2, Providence, RI, 1987, pp. 222-244.
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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) compact Riemann surfaces; automorphism groups Carocca, A.; González-Aguilera, V.; Hidalgo, R. A.; Rodriguez, R., Generalized Humbert curves, Isr. J. Math., 164, 1, 165-192, (2008)
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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) rational points; Hasse principle; Brauer group; Manin obstruction; fibred surfaces; K3 surfaces; Schinzel's hypothesis P. Swinnerton-Dyer, ''Some applications of Schinzel's hypothesis to Diophantine equations,'' in Number Theory in Progress, Vol. 1, Berlin: de Gruyter, 1999, pp. 503-530.
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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) Chow groups of \(K3\) surfaces; symplectic automorphisms Huybrechts, D., Symplectic automorphisms of \(K\)3 surfaces of arbitrary order, Math. Res. Lett., 19, 947-951, (2012)
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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) Enriques surfaces; Coble surfaces; automorphism groups; hyperbolic geometry
| 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) tame algebras; symmetric special biserial algebras; gentle algebras; trivial extensions; Brauer graph algebras; admissible cuts; marked Riemann surfaces; triangulations Schroll, S., Trivial extensions of gentle algebras and Brauer graph algebras, J. Algebra, 444, 183-200, (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) period lattice of an abelian variety; Drinfeld's formal groups; p-adic upper half plane; formal quaternionic module; universal extension; Dieudonné module Teitelbaum, J., On Drinfel'd's universal formal group over the \textit{p}-adic upper half plane, Math. Ann., 284, 4, 647-674, (1989)
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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) elliptic curves; Selmer groups; Euler characteristic; \(L\)-values Shekhar, Sudhanshu; Sujatha, R., Euler characteristic and congruences of elliptic curves, Münster J. Math., 7, 1, 327-343, (2014)
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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) flag variety; positive characteristic; heights; zeta function; Manin conjecture Peyre, E, Points de hauteur bornée sur LES variétés de drapeaux en caractéristique finie, Acta Arith., 152, 185-216, (2012)
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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) K3 surfaces; classical Enriques surfaces; characteristic two; special rational double point; surface of general type Shepherd-Barron N. (1996). Some foliations on surfaces in characteristic 2. J. Algebr. Geom. 5: 521--535
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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) relative Brauer groups; subintegral map; Kummer's sequence
| 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) hyperbolic reflection groups; algebraic K3 surfaces Vinberg, È.~B., The two most algebraic {\(K3\)}\ surfaces, Math. Ann., 265, 1, 1-21, (1983)
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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) quantum cohomology; Virasoro algebra; general Fano manifolds; instanton numbers; Euler characteristic; topological sigma model; 2D gravity coupling; Riemann surfaces; worldsheet instantons Mazorchuk, V.: Lectures on \(\mathfrak {sl}_{2}({\mathbb C})\)-modules. Imperial College Press, London (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) sections of fibrations; Mordell-Weil groups; rational 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) Fuchsian groups; equations of Riemann surfaces; automorphism groups Peter Turbek, Sufficient conditions for a group of automorphisms of a Riemann surface to be its full automorphism group, J. Pure Appl. Algebra 123 (1998), no. 1-3, 285 -- 300.
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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) elliptic surfaces; positive characteristic; automorphism group schemes
| 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) reduced Grothendieck group; equivariant line bundles on curves; curve over a finite field; resolvent; Stickelberger map; Euler-Poincaré characteristic map; Picard group; tamely ramified Galois covering; class groups 10.1353/ajm.1998.0045
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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) conformal field theories of free fermions; bosonization; Jacobian of a compact Riemann surface; formal groups; Hirota tau function; fermion Fock space
| 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; homogeneous spaces; unramified Brauer group; linear algebraic groups Borovoi, Mikhail; Demarche, Cyril; Harari, David, Complexes de groupes de type multiplicatif et groupe de Brauer non ramifié des espaces homogènes, Ann. Sci. Éc. Norm. Sup., 46, 4, (2013), à paraître dans
| 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) category of rational maps; generalized Albanese varieties for smooth proper surfaces; characteristic \(p\) H. Önsiper, Generalized Albanese varieties for surfaces in characteristic p >0, Duke Math. J. 59 (1989), 359-364.
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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) formal groups; quantum groups; categories of noncommutative formal power series algebras; cogroup objects; topological Hopf algebras; quantum group law chunks Holtkamp, R.: On formal quantum group laws. Arch. math. 73, 90-103 (1999)
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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) Galois modules; relative Lubin-Tate formal groups; module generators; associated order Sh.-P. Chan , Relative Lubin-Tate formal groups and Galois module structure . Manuscripta Math. 39 ( 1992 ), 109 - 113 . Article | MR 1156220 | Zbl 0755.11037
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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) Hirzebruch curves; Hilbert modular surfaces; Klein's quartic curve; modular curves; modular groups; Fricke moduli; automorphic functions
| 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 group; smooth formal group; Dieudonné module; additive extension for Barsotti-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) hypergeometric function; \(p\)-integral formal group; Lubin-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) Severi-Brauer surfaces; rationality problems; Brauer group; minimal model program
| 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; intersection theory; singularities; ruled surfaces; quasielliptic fibrations; minimal model theory; canonical dimension; Enriques-Kodaira classification of algebraic surfaces; characteristic \(p\); elliptic fibrations; rational surfaces Bădescu, L., Algebraic surfaces, Universitext, (2001), Springer-Verlag New York, Translated from the 1981 Romanian original by Vladimir Maşek and revised by the author. MR 1805816
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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) separable extension of fields; central simple algebra; corestriction; symbol algebra; Brauer groups Tignol J.-P., On the corestriction of central simple algebras, Math. Z., 1987, 194(2), 267--274
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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 groups; \(n\)-Brauer dimension; \(\mathbb Z/n\)-cyclic classes; \(\mathbb Z/n\)-lengths; connected regular projective relative curves; divisors; hot points; finitely-generated extensions of transcendence degree \(1\); Brauer equivalence classes of cyclic algebras; central division algebras E. Brussel and E. Tengan, Division algebras of prime period \( \ell \neq p\) over function fields of \( p\)-adic curves, Israel J. Math. (to appear).
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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) rational points on algebraic varieties; Brauer-Manin obstruction; cubic surfaces; zeta-function; explicit formula; Selberg zeta-function; partition function; bosonic string
| 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 representations; local fields; Galois cohomology; \(p\)-adic formal groups; \(p\)-adic cohomology
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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) hereditary orders; central simple algebras; Severi-Brauer schemes; Severi-Brauer varieties; Chow groups; Artin models Emmanuelle Frossard, Fibres dégénérées des schémas de Severi-Brauer d'ordres, J. Algebra 198 (1997), no. 2, 362 -- 387 (French).
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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) quasiplatonic surfaces; genus; subgroups of finite index; Fuchsian triangle groups; Riemann surfaces Schlage-Puchta, Jan-Christoph; Wolfart, Jürgen, How many quasiplatonic surfaces?, Arch. Math. (Basel), 86, 2, 129-132, (2006)
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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) surfaces isogenous to a product of curves; finite groups; mapping class groups; moduli spaces; surfaces of general type Penegini, M.: Surfaces isogenous to a product of curves, braid groups and mapping class groups. In: Beauville Surfaces and Groups, Springer Proceedings in Math. and Stats. pp. 129-148 (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) étale cohomology; motivic cohomology; arithmetic schemes; Selmer groups; Tate-Shafarevich groups and zeta values of arithmetic 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) characteristic \(p\); tame coverings; fundamental group; graph of groups; semi-stable curves; Belyi's theorem; semi-stable Kummerian coverings Saïdi, M., Rev\hat etements modérés et groupe fondamental de graphe de groupes, Compositio Math., 107 (1997), 319-338.
| 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; homology groups; de Rham 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) algebraic cycles; \(K\)-cohomology; Severi-Brauer varieties; central simple algebras; algebraic groups; homogeneous 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) birational geometry; Cremona groups; Jordan property; finite 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) rational points; del Pezzo surfaces heights; universal torsor T.D. Browning, An overview of Manin's conjecture for del Pezzo surfaces. Analytic Number Theory - A Tribute to Gauss and Dirichlet (Goettingen, 20th June - 24th June, 2005), Clay Mathematics Proceedings 7 (2007), 39-56. Zbl1134.14017
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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) graded algebras; central simple algebras; Schilling valuations; algebra of central quotients; valued division algebras; tame algebras; associated graded algebra; graded Brauer groups; valued algebras; decompositions M'hammed Boulagouaz, Le gradué d'une algèbre à division valuée, Comm. Algebra 23 (1995), no. 11, 4275 -- 4300 (French).
| 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) fake quadrics; surfaces of general type; quaternionic arithmetic lattices; groups acting on trees; square complexes
| 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) codes; algebraic surfaces; Euler 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) characteristic \(p\); algebraic fundamental group of the affine line; Galois groups; Mathieu groups Shreeram S. Abhyankar, Mathieu group coverings and linear group coverings, Recent developments in the inverse Galois problem (Seattle, WA, 1993) Contemp. Math., vol. 186, Amer. Math. Soc., Providence, RI, 1995, pp. 293 -- 319.
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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) products of conjugates of generators; algorithms; Garside normal forms; quasipositivity in braid groups; plane real algebraic curves; trigonal real pseudoholomorphic curves; rational ruled surfaces S Y Orevkov, Quasipositivity problem for \(3\)-braids, Turkish J. Math. 28 (2004) 89
| 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; twisted sheaves; higher algebraic \(K\)-theory; stable homotopy theory DOI: 10.1017/is010011030jkt136
| 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) regula rings; Azumaya algebras; Brauer groups; central separable 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) split reductive group; Severi-Brauer variety; Chow groups; semi-decomposable invariants S.~Baek, Chow groups of products of Severi-Brauer varieties and invariants of degree 3, {\em Trans.~Amer.~Math.~Soc.} 369(3): 1757--1771, 2017
| 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) Newton polygon; \(p\)-divisible group; display; stratification; Manin conjecture; Grothendieck conjecture; Barsotti-Tate groups; characteristic \(p\); isogeny; Dieudonné module; deformation F. Oort, ''Newton polygons and formal groups: conjectures by Manin and Grothendieck,'' Ann. of Math., vol. 152, iss. 1, pp. 183-206, 2000.
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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) birational geometry of linear algebraic groups; Galois cohomology; Picard group; Brauer group; birational properties of algebraic tori; projective toric varieties; invariants of finite transformation groups Voskresenskiĭ, Galois lattices and algebraic groups, J. Math. Sci. New York 106 (4) pp 3098-- (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) curves; covers; automorphisms; Galois groups; characteristic \(p\); lifting; Oort conjecture; simple group; almost simple; normal complement
| 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; liftable to the ring of Witt vectors; 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) Riemann surfaces; symmetries of Riemann surfaces; automorphisms of Riemann surfaces; Fuchsian 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) 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) \(\ell\)-adic cohomology; independence of \(\ell \); grothendieck's trace formula; Lefschetz trace formula; zeta functions over finite fields; Euler-poincaré characteristic; Betti number; bloch's conductor conjecture; intersection cohomology; grothendieck's six operations; intermediate extension; Weil conjectures; Hodge polygon; Newton polygon; crystalline cohomology; Hodge filtration; coniveau filtration; alteration; Fano variety; rationally connected; Weil group; swan conductor; wild ramification; Brauer trace; log scheme; logarithmic differential forms; Čebotarev's density theorem; semisimple group; fatou's Lemma Illusie, L.: Miscellany on traces in \(\mathcall \)-adic cohomology: a survey. Japan J. Math. \textbf{1}(1), 107-136 (2006). Erratum: Japan J. Math. \textbf{2}(2), 313-314 (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 group; R-Azumaya H-module algebras; cocommutative Hopf algebra; split exact sequence; Galois H-objects; Galois groups; symmetric closed category; 2-categories J.M. Fernández Vilaboa, Grupos de Brauer y de Galois de un álgebra de Hopf en una categorı\acute{}a cerrada, Álxebra 42, Universidad de Santiago de Compostela, Santiago de Compostela, 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) Picard groups of \(K3\) surfaces Elsenhans, Andreas-Stephan; Jahnel, Jörg: On the computation of the Picard group for K3 surfaces
| 0 |
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