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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) linearization of actions of linearly reductive groups; characteristic two; Reynolds operator Jurkiewicz, J.:On the linearization of actions of linearly reductive groups. Comment. Math. Helvetici 64, 508--513 (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) Klein surfaces; NEC groups; automorphism groups; fundamental polygons Estrada, B., Martínez, E.: Automorphism groups of q-trigonal Klein surfaces and maximal surfaces. J. Math. Soc. Jpn. 61, 607--623 (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) birational maps; linear algebraic groups; schemes; cohomology; algebraic torus; 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) Brauer groups; Brauer-Manin sets
| 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) semisimple simply connected algebraic groups; Lie algebras; fields of formal Laurent series; Iwahori subgroups; Iwahori subalgebras; finite dimensional projective varieties; dimensions; explicit formula R. Bezrukavnikov, ''The dimension of the fixed point set on affine flag manifolds,'' Math. Res. Lett., vol. 3, iss. 2, pp. 185-189, 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) central simple algebras; Brauer groups; adjoint semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties A. S. Merkurjev, I. A. Panin, A. R. Wadsworth, \textit{Index reduction formulas for twisted flag varieties}. I, \(K\)-Theory \textbf{10} (1996), no. 6, 517-596.
| 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; NEC groups; automorphism groups B. Mockiewicz, Big groups of automorphisms of some Klein surfaces , Rev. Real Acad. Cien. Madrid 96 (1) (2002), 1-5.
| 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; Riemann surfaces; Teichmüller spaces; mapping class groups; holomorphic curves; Thom spaces; \(K\)-theory; stable homology; stable homotopy; stable topology; gauge theory Cohen, R.: Stability phenomena in the topology of moduli spaces, Surveys in differential geometry XIV, 23-56 (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) cohomological Brauer group; topology of real Enriques surfaces V. V. Nikulin, ''On the Brauer group of real algebraic surfaces,'' in:Algebraic Geometry and Its Applications, Yaroslavl (1992), pp. 114--136.
| 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) Iwasawa theory; supersingular reduction; Tate-Shafarevich group; p-adic L-function; Selmer groups; ring of norms; p-adic heights; supersingular elliptic curves Perrin-Riou, Bernadette, Theorie d'Iwasawa \textit{p}-adique locale et globale, Invent. Math., 99, 247-292, (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) fundamental group; positive characteristic; projective curves; tame covers; Galois groups Stevenson, K. F.: Conditions related to \({\pi}\)1. J. number theory 68, 62-79 (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) elliptic surfaces; Néron-Severi 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) 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) Brauer groups; indices; function fields of projective spaces; \(P_{n,r}\)-fields
| 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) simple algebras; Brauer groups; Kronecker product of quaternion algebras Tignol, J. -P.: Corps à involution neutralisés par une extension abélienne elémentaire. Lecture notes in math. 844 (1981)
| 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) Lubin-Tate formal groups; local class field theory; 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) classification of 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) algebraic surfaces; classification of surfaces; positive characteristic $p$
| 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) Iskovskikh surface; Del Pezzo surface; automorphism groups; rationality; birational classification; Châtelet surfaces B.È. Kunyavski\? , A.N. Skorobogatov , M.A. Tsfasman . - Combinatorics and geometry of Del Pezzo surfaces of degree 4 , Uspekhi Mat. Nauk, 1985 , v. 40, N^\circ 6, 145-146 (= Russian Math. Surveys, 1985 , v. 40, N^\circ 6, 131-132). Zbl 0612.14039
| 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; pillow degenerations; generic projections; fundamental groups of complements of plane curves M Amram, C Ciliberto, R Miranda, M Teicher, Braid monodromy factorization for a non-prime \(K3\) surface branch curve
| 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) dimension two polynomial formal groups; Hopf algebras; Hopf orders; isogenies Childs, L. N.; Moss, D. J.; Sauerberg, J.; Zimmermann, K.: Dimension two polynomial formal groups and Hopf algebras. Memoirs am. Math. soc. 136 (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) Brauer group; period-index problem; real algebraic surfaces; u-invariant; Hodge 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) unramified Brauer groups; Brauer-Manin obstruction; Hasse principle; weak approximation; rational points; zero-cycles; norm equations D. Wei, On the equation {N_{K/k}({\(\Xi\)})=P(t)}, Proc. Lond. Math. Soc. (3) 109 (2014), no. 6, 1402-1434.
| 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 surfaces; Kawamata-Viehweg vanishing theorem; positive characteristic ] P. Cascini and H. Tanaka, Smooth rational surfaces violating Kawamata-Viehweg vanishing, 2016. \scriptsize{arXiv:1607.08542}
| 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 theorem; positive characteristic; counterexample Kodaira vanishing theorem; Raynaud polarized surfaces Takayama, Yukihide, On non-vanishing of cohomologies of generalized raynaud polarized surfaces, J. pure appl. algebra, 214, 1110-1120, (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) arithmetic quotients of Hermitian symmetric spaces; arithmetic groups; moduli varieties; Burkardt quartic threefold; cubic surfaces; parameter spaces of families of abelian varieties; quintic fourfold; automorphism group B. Hunt, \textit{The Geometry of Some Special Arithmetic Quotients}, Springer Lecture Notes in Mathematics, No. 1637, Springer--Verlag, Berlin, 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) Borcherds products; Hilbert modular surfaces; arithmetic Hirzebruch-Zagier divisors; self-intersection numbers; Faltings heights Bruinier, J. H.; Burgos Gil, J. I.; Kühn, U., Borcherds products and arithmetic intersection theory on Hilbert modular surfaces, Duke Math. J., 139, 1-88, (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) \(F\)-crystals; Newton polygons; characteristic \(p\); stratification; isogeny theorem; \(p\)-divisible groups; deformations; resolution of singularities [13] A. J. de Jong & F. Oort, `` Purity of the stratification by Newton polygons {'', \(J. Amer. Math. Soc.\)13 (2000), no. 1, p. 209-241. &MR 17 | &Zbl 0954.}
| 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 surfaces; Symplectic fourfolds; Monodromy; Fundamental groups F. Bogomolov and L. Katzarkov, ''Symplectic four manifolds and projective surfaces,'' to appear inJ. Topology Appl.
| 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; algebraic function fields; positive characteristic; automorphism groups; Artin-Schreier-Mumford curve Korchmáros, G.; Montanucci, M., The geometry of the Artin-Schreier-Mumford curves over an algebraically closed field, (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) Euler-Poincaré characteristic; fake projective planes; surfaces of general type S.-K. Yeung, Classification of surfaces of general type with Euler number 3, J. Reine Angew. Math. 679 (2013), 1-22.
| 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) hypersurface; isolated singularities; primitive cohomology groups; mixed Hodge structure; Euler characteristic; real points Dimca, A, Hodge numbers of hypersurfaces, Abh. Math. Sem. Univ. Hambg., 66, 377-386, (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) Beauville groups; Beauville surfaces; triangle groups; simple groups; almost simple groups; nilpotent groups Fairbairn, B.: More on strongly real Beauville groups. In: Širáň, J., Jajcay, R. (eds.) Symmetries in Graphs, Maps, and Polytopes 5th SIGMAP Workshop, Springer Proceedings in Mathematics and Statistics, Volume 159, Springer, Berlin, pp. 129-146 (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) symmetric product of Riemann surfaces; Jacobian; Abel-Jacobi map; higher cohomology groups Lazarsfeld, R., Cohomology on symmetric products, syzygies of canonical curves, and a theorem of kempf, No. 145, 89-97, (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) \(n\)-dimensional local field; Milnor groups; maximal elementary abelian \(p\)-extension; formal Lubin-Tate groups; Artin symbol; Kummer 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) formal algebraic groups; group scheme; Frobenius endomorphism
| 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) Frobenius morphism; vector bundles; algebraic 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) rational points; Brauer-Manin obstruction; Étale-Brauer obstruction; torsors; linear algebraic groups Balestrieri, F., Obstruction sets and extensions of groups, Acta arith., 173, 151-181, (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) surfaces of general type; automorphism groups; fibrations Cai, J.-X., Automorphisms of fiber surfaces of genus 2, inducing the identity in cohomology. II, Internat. J. Math., 17, 2, 183-193, (2006)
| 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; Lie algebras of dynamical systems
| 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 \(p\); \(p\)-closed rational vector fields; \(K3\) surfaces; unirational surfaces; Hirzebruch surfaces; Zariski surfaces; Enriques' surfaces; surfaces of general type; Artin invariant; quasi-elliptic surfaces M. Hirokado, Zariski surfaces as quotients of Hirzebruch surfaces by \(1\)-foliations , Yokohama Math. J., 47 (2000), 103--120.
| 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; Honda theory; Abelian varieties; hyperelliptic 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) 2-periodic multiplicative cohomology theories; 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) algebraic cycles; Chow groups; intersection product; 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) classification of extremal rational elliptic surfaces in characteristic \(p\) Lang, William E., Extremal rational elliptic surfaces in characteristic \(p\). II. Surfaces with three or fewer singular fibres, Ark. Mat., 0004-2080, 32, 2, 423-448, (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) Beauville structures; strongly real Beauville groups; real Beauville surfaces; characteristically simple groups; almost simple groups Fairbairn, B.T.: Strongly Real Beauville Groups. In: Bauer, I.C., Garion, S., Vdovina, A. (eds.) Beauville Surfaces and Groups, Springer Proceedings in Mathematics & Statistics, vol. 123, pp. 41-61. Springer. (2015). 10.1007/978-3-319-13862-6_4
| 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) strong approximation; purity; Brauer-Manin obstruction; (linear) algebraic groups; Bruhat decomposition; homogeneous spaces
| 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 cohomology; Brauer groups; representations; finite subgroups; invariant theory; polynomial invariants; Brauer-Clifford groups; absolutely irreducible subgroups
| 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; homogeneous spaces; Galois cohomology; finite groups G. Lucchini Arteche, \textit{Groupe de Brauer non ramifié des espaces homogènes à stabilisateur fini}, J. Algebra \textbf{411} (2014), 129-181.
| 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) alternating groups; real genera; \(M^*\)-groups; bordered Klein surfaces; partial presentations; generators; relators; automorphism groups Etayo, JJ; Martínez, E, The real genus of the alternating groups, Rev. Mat. Iberoamericana, 24, 865-894, (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) moduli of \(K3\) surfaces in 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) covariant classification of formal groups; Hasse-Witt matrix of a formal 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) irreducible variety; Henselian closure; Brauer groups; transcendence degree; separably closed; \(K\)-rational W.-D. Geyer and M. Jarden, Non-PAC fields whose Henselian closures are separably closed. Math. Research Letters 8 (2001), 509-519. Zbl0991.12004 MR1849266
| 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) Châtelet surfaces; Brauer group; Picard group; Hasse principle
| 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) Ulm invariants; realization of certain abelian p-groups as summands of 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) linear algebraic groups; Cayley groups; Cayley maps; reductive algebraic groups; algebraic surfaces; equivariant birational isomorphisms
| 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 Grothendieck groups of varieties; bivariant theory; Riemann-Roch; motivic characteristic class; Hirzebruch class J Schürmann, S Yokura, Motivic bivariant characteristic classes
| 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; analytic spaces; good groups Schröer, S.: Topological methods for complex-analytic Brauer groups. Topology 44, No. 5, 875-894 (2005)
| 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 classes; Brauer-Manin obstruction; log \(K3\) surfaces; counting function; Bombieri-Pila theorem
| 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) Mordell-Weil groups; genus 2 curves; Jacobian variety; Kummer surfaces; torsion group; rational points; computer algebra; Diophantine equations Cassels, J. W. S.; Flynn, E. V., Prolegomena to a Middlebrow Arithmetic of Curves of Genus \(2\), London Mathematical Society Lecture Note Series 230, xiv+219 pp., (1996), Cambridge University 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) Riemann surfaces; moduli space of Riemann surfaces; automorphisms of Riemann surface; 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) automorphisms of Riemann surfaces; Fuchsian groups; Belyi 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) cohomology; representation theory; formal groups; number theory; elliptic curves; modular forms; zeta 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) Chow groups; surfaces; Hodge cohomology groups; \(K3\) surface; rational equivalence class Maclean, C.: Chow groups of surfaces with h2,0 \leq 1. C. R. Math. Acad. Sci. Paris 338, 55-58 (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) configurations of Kodaira fibers on elliptic rational surfaces; Weierstrass models; Mordell-Weil groups U. Persson, \textit{Configurations of Kodaira fibers on rational elliptic surfaces}, \textit{Math. Z.}\textbf{205} (1990) 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) surfaces of general type with genus \(0\); Godeaux surfaces; Campedelli surfaces; Burniat surfaces; Bloch conjecture; actions of finite groups I. Bauer, F. Catanese and R. Pignatelli, Surfaces of general type with geometric genus zero: A survey, Complex and Differential Geometry, Springer Proc. Math. 8, Springer, Heidelberg (2011), 1-48.
| 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; Weyl groups; root systems; Galois cohomology; algebraic tori Kunyavskij, B. È.; Skorobogatov, A. N.; Tsfasman, M. A., Del Pezzo surfaces of degree four, Mém. Soc. Math. France (N. S.), 37, 1-113, (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) Brauer-Severi varieties; Picard groups; cyclic algebras; theory of twists; 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) purely inseparable surfaces; resolution of singularities; positive characteristic; blowups; embedded resolution; Newton polygon Hauser, H; Wagner, D, Alternative invariants for the embedded resolution of purely inseparable surface singularities, L'Enseign Math., 60, 177-224, (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) automorphisms; group schemes; bielliptic surfaces; quasi-bielliptic surfaces; hyperelliptic surfaces; quasi-hyperelliptic 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) \(K3\) surfaces; finite automorphism groups; finite number of \((-2)\)-curves; Vinberg 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) Brauer group; Brauer obstruction; Hasse principle; weak approximation; del Pezzo surfaces of degree 4 P. Salberger and A. N. Skorobogatov, ''Weak approximation for surfaces defined by two quadratic forms,'' Duke Math. J., vol. 63, iss. 2, pp. 517-536, 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) Lie algebras; Lie groups; analytic groups; analytic manifolds; formal groups J.P. Serre, \textit{Lie Algebras and Lie Groups}, Lect. Notes Math. volume 1500, Springer (1992).
| 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; Abelian varieties; moduli spaces; \(p\)-divisible group; Hilbert modular forms; rigid geometry; group schemes; Neron model; \(K3\) surfaces; Calabi-Yau varieties; sporadic groups; knot-invariants Edixhoven, S. J.; Moonen, B. J. J.; Oort, F., Open problems in algebraic geometry, Bulletin des Sciences Mathématiques, 125, 1-22, (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) \(K3\) surfaces; symplectic automorphisms; positive characteristic I. Dolgachev and J. H. Keum, Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic , Ann. of Math. (2) 169 (2009), no. 1, 269-313.
| 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; Buildings; 2-Groups Barker, N; Boston, N; Peyerimhoff, N; Vdovina, A, New examples of Beauville surfaces, Monatsh. Math., 166, 319-327, (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) depth; \(D\)-modules; formal grade; annihilator; local cohomology; positive characteristic methods; Frobenius depth
| 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) Mordell-Weil groups; rational surfaces; trigonal 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) Brauer groups; Azumaya algebras; Galois biextensions; cocommutative Hopf algebra; dual Hopf algebra; fixed subalgebra Ulbrich, K. H.: An exact sequence for the Brauer group of dimodule Azumaya algebras. Math. J. Okayama univ. 35, 63-88 (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) essential dimension; algebraic tori; Brauer groups Ruozzi, Anthony, Essential \(p\)-dimension of \({\mathrm PGL}_n\), J. Algebra, 0021-8693, 328, 488-494, (2011)
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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) connectedness of moduli spaces; Riemann surfaces with real models; cristallographic groups \textsc{C. J. Earle}, On moduli of closed Riemann surfaces with symmetries, In: Advances in the Theory of Riemann Surfaces, 119-130, Annals of Mathematics Studies, 66, Princeton University Press and University of Tokyo Press, Princeton, NJ, 1971.
| 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; derived equivalence; Calabi-Yau threefolds
| 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; singular locus of moduli space of compact Riemann surfaces; \(p\)-gonal Riemann surfaces; Fuchsian groups; uniformization theorem Gromadzki, G., Weaver, A., Wootton, A.: A. Connectivity and dimension of the \(p\)-locus in moduli space. In: Izquierdo, M., Broughton, S.A., Costa, A.F., Rodriguez, R.E. (eds.) Contemp. Math., vol. 629, pp. 189-202. Amer. Math. Soc., Providence (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) algebraic curves; algebraic function fields; 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) Hurwitz groups; hyperbolic isometries; geodesics on 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) Beauville surfaces; finite groups; moduli spaces; surfaces of general type Garion, S., Penegini, M.: Beauville surfaces, moduli spaces and finite groups. Commun. Algebra \textbf{42}, 2126-2155 (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) bordism; formal groups; global equivariant homotopy 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) polynomial algebras; automorphism groups; periodic subgroups; linear automorphisms; \(p\)-subgroups; quasicyclic subgroups; algebras of formal power series; free 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) fundamental groups of projective surfaces; finitely presented groups; fundamental groups of Riemann surfaces; universal covers of projective varieties Bogomolov, F.; Katzarkov, L.: Infinite groups in projective and symplectic geometry. (1997)
| 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) heights; \(p\)-adic dynamical systems; commuting power series; endomorphisms; formal group Li, H.-C., On heights of \textit{p}-adic dynamical systems, Proc. Amer. Math. Soc., 130, 379-386, (2002)
| 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) degeneration theorem for K 3-surfaces; characteristic p
| 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; degrees; indices; \(p\)-adic curves; algebraic function fields Eric Brussel, On Saltman's \?-adic curves papers, Quadratic forms, linear algebraic groups, and cohomology, Dev. Math., vol. 18, Springer, New York, 2010, pp. 13 -- 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) Picard modular groups; Picard modular surfaces; modular forms; zeta functions Holzapfel, R. -P.: Zeta dimension formula for Picard modular cusp forms of neat natural congruence subgroups, Abh. math. Semin. univ. Hambg. 68, 169-192 (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) Burniat surfaces; Campedelli surfaces; torsion groups of surfaces; moduli of Burniat surfaces; Galois covers; arrangements of lines V. S. Kulikov, Old examples and a new example of surfaces of general type with \(p_{g}=0\) (in Russian), Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004), no. 5, 123-170; English translation in Izv. Math. 68 (2004), no. 5, 965-1008.
| 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 on del Pezzo surfaces of degree 4; algorithm; MAGMA; curves of genus 2 '', LMS J. Comput. Math.10 (2007), p. 354-377
| 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 fields; elements of exponent p; classes of cyclic algebras of degree p A. S. Merkurjev, Brauer groups of fields, Comm. Algebra 11 (1983), 2611--2624.
| 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 curve; 4-manifold; Riemann surface; algebraic actions of a product of cyclic groups on simply-connected algebraic surfaces; actions which are non-trivial on homology; fixed point sets; automorphisms of the intersection form
| 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) dessins d'enfants; Wada dessins; bipartite graphs; graph embeddings; difference sets; finite geometries; Riemann surfaces; Frobenius automorphism; singer groups Sarti, C, Wada dessins associated with finite projective spaces and Frobenius compatibility, Ars Math. Contemp., 4, 291-311, (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) minimal Weierstrass form; torsion point; formal groups
| 0 |
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