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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) Barsotti-Tate groups; deformation theories; formal schemes; projective varieties; purity; regular rings; vector bundles
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) divisor class groups; trinomial varieties; torus actions; Cox rings; Du Val 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) ramified covering of compact Riemann surfaces; theta-characteristic Serre, J.-P., Revêtements à ramification impaire et thêta-caractéristiques, C. R. acad. sci. Paris Sér. I math., 311, 9, 547-552, (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) Brauer group; real Enriques surfaces; universal covering K3 surfaces; 2- cohomology lattice V. V. Nikulin,J. Reine Angew. Math.,444, 115--154 (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) group of continuous characters; subgroups of Brauer groups; local field DOI: 10.1080/00927879808826402
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(M^*\)-groups; groups of automorphisms; compact bordered Klein surfaces; finite groups with two generators Bujalance, E.F.-J. Cirre and P. Turbek, Automorphism criteria for \(M^*\)-groups , Proc. Edinburgh Math. Soc. (2) 47 (2004), 339-351.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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 of groups; unramified Brauer group; twisted multiplicative fields of invariants Jean Barge, Cohomologie des groupes et corps d'invariants multiplicatifs tordus, Comment. Math. Helv. 72 (1997), no. 1, 1 -- 15 (French, with English summary).
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) multinorm; tori; Shafarevich groups; local-global principles; 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) geometric invariant theory; Chow groups; equivariant intersection theory; quotients by torus actions; residue formula; characteristic numbers; algebraic cutting D. Edidin, W. Graham, Algebraic cuts, Proc. Amer. Math. Soc. 126 (1998), no. 3, 677--685.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) global generalization of Honda's result; formal groups; Gauss sums; integral representations; characters of odd prime conductor Childress, N.; Stopple, J.: Formal groups and Dirichlet L-functions, II. J. number theory 41, 295-302 (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) algebraic curves; toric surfaces; even 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) elementary formal group; multiple-valued commutative formal groups
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) K3 surfaces and Enriques surfaces; Lattices and Convex bodies; Simple groups and groups of Lie type; simple groups of Lie type; simple groups: sporadic groups Keum J.H., Oguiso K., Zhang D.-Q.: The alternating group of degree 6 in the geometry of the Leech lattice and K3 surfaces. Proc. Lond. Math. Soc. (3) 90(2), 371--394 (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) Galois cohomology; central simple algebras; Brauer groups; Brauer-Severi varieties; Milnor \(K\)-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) Rokhlin congruence; Kharlamov-Gudkov-Krakhnov congruence; curves on surfaces; characteristic surface
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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 flat group schemes; height; \(p\)-divisible groups; formal schemes Laurent Fargues, ``La filtration de Harder-Narasimhan des schémas en groupes finis et plats.'', J. Reine Angew. Math.645 (2010), p. 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) compact Riemann surfaces; automorphism groups; genus spectra; gap sequences; split metacyclic groups Weaver, A, Genus spectra for split metacyclic groups, Glasg. Math. J., 43, 209-218, (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) etale covers of curves; profinite groups; positive characteristic; Galois theory Manish Kumar, ``The fundamental group of affine curves in positive characteristic'', J. Algebra399 (2014), p. 323-342
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; obstruction to the Hasse principle; Severi-Brauer varieties; quadrics; fields of rational 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) Tate conjecture; Zarhin's trick; Barsotti-Tate groups; heights of cycles Bost, Jean-Benoît; Freixas i Montplet, Gerard, Semi-abelian schemes and heights of cycles in moduli spaces of abelian varieties, Rend. Semin. Mat. Univ. Padova, 128, 55-89 (2013), (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) Picard groups; rationality; theta divisors; semistable sheaves; slope; moduli space; projective surfaces; projective plane Le Potier, J., Faisceaux semi-stables de dimension \(1\) sur le plan projectif, Rev. Roumaine Math. Pures Appl., 38, 7-8, 635-678, (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) Kodaira vanishing; log del Pezzo surfaces; Kawamata log terminal singularities; 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) Shimura surfaces; surface automorphisms; quotients by finite groups; 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) Enriques surfaces; \(K3\) surfaces; Mathieu groups; semi-symplectic action
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; Hurwitz groups; algebraic curves; Macbeath-Hurwitz curves; field of definition Streit M.: Field of definition and Galois orbits for the Macbeath--Hurwitz curves. Arch. Math. 74, 342--349 (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) p-torsion points on formal groups; Galois representations; formal power series ring; generic 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) essential \(p\)-dimension; central simple algebras; Brauer groups; Severi-Brauer varieties; \(R\)-equivalence; Chow groups; character groups of algebraic tori Alexander S. Merkurjev, Essential \?-dimension of \?\?\?(\?²), J. Amer. Math. Soc. 23 (2010), no. 3, 693 -- 712.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) connected reductive linear algebraic groups; maximal tori; Borel subgroups; Weyl groups; numbers of connected components; Euler characteristic; compactly supported cohomology Rietsch, K.: Intersections of Bruhat cells in real flag varieties. Int. Math. Res. Not. 13, 623--640 (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) 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) Brauer groups; division algebras; central simple algebras; symbol algebras; cyclic algebras; cubic curves; ramification divisors; rational function fields [Fo] T. Ford,Division algebras that ramify only along a singular plane cubic curve, New York Journal of Mathematics1 (1995), 178--183, http://nyjm.albany.edu:8000/j/v1/ford.html.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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-canonical liftings; complex multiplication; Lubin-Tate formal groups; Serre-Tate theorem V. Meusers, ''Canonical and quasi-canonical liftings in the split case,'' Astérisque, iss. 312, pp. 87-98, 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) 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) complex algebraic geometry; Hodge theory; fundamental groups; representation varieties; formal deformation theory; \(L_\infty\) 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) derived category; algebraic surfaces; characteristic 2; Enriques 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) Hasse principle; approximation theorems for homogeneous spaces; abelianization of Galois cohomology; affine algebraic groups; non-Abelian hypercohomology; Brauer-Grothendieck group Morishita, M.: Hasse principle and approximation theorems for homogeneous spaces. Algebraic number theory and related topics, Kyoto 1996 998, 102-116 (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) Frobenius kernel; canonical subgroups of finite height commutative formal groups; local rings; flat cohomology groups; Selmer group of an abelian variety
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) derived categories; semiorthogonal decompositions; toric surfaces; 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) formal groups; additivity theorems; elliptic 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) Brauer-Long group; étale cohomology groups; Galois extensions; graded rings DOI: 10.2307/2001740
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) involutions on Riemann surfaces; symmetric surfaces; automorphism groups; anticonformal automorphisms; conjugacy classes of symmetries; Klein surfaces Gromadzki, G., Izquierdo, M.: Real forms of a Riemann surface of even genus. Proc. Am. Math. Soc. 126(12), 3475--3479 (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 groups; smooth proper surface; Galois cohomology Bright M., Swinnerton-Dyer P., Computing the Brauer-Manin obstructions, Math. Proc. Cambridge Philos. Soc., 2004, 137(1), 1--16
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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 \(p\); sheaf of infinite differential operators; formal scheme
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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 scrolls; linear system; Euler characteristic; nonsingular; locally free sheaf; Del Pezzo 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) minimal model program for 3-folds; extremal rays; Del Pezzo surfaces; Fano 3-folds; flops in dimension 4; table for the extremal rays for Fano 3-folds; Dynkin diagrams of the Weyl groups Matsuki K.: Weyl groups and birational transformations among minimal models. Mem. Amer. Math. Soc. 116, 1--133 (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) characteristic \(p\); weighted diagonal K3 surfaces; Néron-Severi group Yasuhiro Goto, On the Néron-Severi groups of some \?3 surfaces, The arithmetic and geometry of algebraic cycles (Banff, AB, 1998) CRM Proc. Lecture Notes, vol. 24, Amer. Math. Soc., Providence, RI, 2000, pp. 305 -- 328.
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) positive characteristic; singular cubic 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) automorphism groups; compact Riemann surfaces; Fuchsian groups Bujalance, E., Cirre, F.J., Conder, M.: On extendability of group actions on compact Riemann surfaces. Trans. Amer. Math. Soc. \textbf{355}(4), 1537-1557 (2003) (electronic)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Teichmüller space; Fuchsian groups; moduli space of spin 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) supersingular K3 surface; elliptic fibration; rational extremal elliptic surfaces; Mordell-Weil groups Ito, H.: On extremal elliptic surfaces in characteristic 2 and 3. Hiroshima math. J. 32, 179-188 (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) formal groups; local class field theory; Lubin-Tate 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) Noether's problem; rationality problem; Bogomolov multiplier; unramified Brauer groups; retract rationality; cohomology of finite groups Kang, M, Bogomolov multipliers and retract rationality for semi-direct products, J. Algebra, 397, 407-425, (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) group actions; compact surfaces; topological equivalence; elementary abelian groups; hyper-Fermat curves Broughton, S.A.; Wootton, A., Topologically unique maximal elementary abelian group actions on compact oriented surfaces, J. pure appl. algebra, 213, 557-572, (2009)
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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) moduli spaces; Weierstrass-points; automorphism groups of Riemann surfaces; threefold Galois cover Andrei Duma and Wolfgang Radtke, Automorphismen und Modulraum Galoisscher dreiblättriger Überlagerungen, Manuscripta Math. 50 (1985), 215 -- 228 (German, with English summary).
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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) moduli space of Riemann surfaces; singular locus; 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) rational surfaces; Del Pezzo surfaces; finite groups; quotients Trepalin, A.: Quotients of del Pezzo surfaces of high degree (2013). arXiv:1312.6904
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Kazhdan-Lusztig polynomials; irreducible characters; highest weight modules; simple Lie algebras; quantized enveloping algebras; reductive algebraic groups; positive characteristic; root systems; intersection cohomology sheaves; Schubert varieties; character formulae; Coxeter numbers; Lusztig conjecture; affine flag manifolds; affine Kac-Moody algebras; moment graphs Fiebig, Peter, Sheaves on affine Schubert varieties, modular representations, and Lusztig's conjecture, J. Amer. Math. Soc., 0894-0347, 24, 1, 133\textendash 181 pp., (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) categories of field extensions; essential \(p\)-dimension; transcendence degrees; central simple algebras; essential dimension; Brauer groups; cyclic algebras Baek, S., Essential dimension of simple algebras in positive characteristic, C. R. Acad. Sci. Paris Sér. I Math., 349, 375-378, (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) semistable extensions; Leopoldt ideal; associated orders; formal groups; local Galois module theory Bondarko, Mikhail V., Leopoldt's problem for abelian totally ramified extensions of complete discrete valuation fields, Algebra i analiz, Saint |St. Petersburg math. J., 18, 5, 757-778, (2007), English transl. in:
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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; \(p\)-divisible groups; Dieudonné modules; Honda theory; norm tori; Weil restriction
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; hyperelliptic surfaces; genus zero actions
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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 invariants of sheaves; Picard groups; Brauer groups; class groups Verschoren A., Relative Invariants of Sheaves (1986)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) central extensions of Lie algebras; conformal groups; Witt algebra; conformal field theories; central extensions of groups; two-dimensional conformal field theory; Virasoro algebra; conformal symmetries in dimension two; representation; Verma modules; Kac determinant; diffeomorphism group of the circle; bosonic string theory; Verlinde formula; fusion rule; dimension formula; spaces of generalized theta functions; moduli spaces of vector bundles; compact Riemann surfaces; bibliography Schottenloher, M.: A mathematical introduction to conformal field theory. (1997)
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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) Braid groups; Yang-Baxter groups; dynamical Yang-Baxter relations; classical Yang-Baxter relations; Kohno-Drinfeld algebras; 3-term relations algebras; Gaudin elements; Jucys-Murphy elements; small quantum cohomology; \(K\)-theory of flag varieties; Pieri rules; chromatic number; Tutte and Betti polynomials; reduced polynomials; Chan-Robbins-Yuen polytope; \(k\)-dissections of a convex \((n+k+1)\)-gon; Lagrange inversion formula; Richardson permutations; multiparameter deformations of Fuss-Catalan and Schröder polynomials; poly-Bernoulli numbers; Stirling numbers; Euler numbers; Brauer algebras; VSASM; CSTCPP; Birman-Ko-Lee monoid; Kronecker elliptic sigma functions Kirillov, Anatol N., On some quadratic algebras {I}~{\(\frac{1}{2}\)}: combinatorics of {D}unkl and {G}audin elements, {S}chubert, {G}rothendieck, {F}uss--{C}atalan, universal {T}utte and reduced polynomials, SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, 12, 002, 172~pages, (2016)
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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 problem; Tate conjecture; Schur congruences; polynomial multiplication; formal groups; formal power series expansions; uniformization problem; integrality; algebraic differentials CHUDNOVSKY, D. V., and CHUDNOVSKY, G. V., Editors, Search Theory, Marcel Dekker, New York, New York, 1988.
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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) Hopf algebra; finitely generated projective module; coassociative homomorphism; inductively defined bialgebras; semisimple bialgebra; bialgebras in endomorphism rings; comultiplication; Dedekind domain; Brauer groups; Azumaya algebras Netzsch, R.: Bialgebren in endomorphismenringen. Ph.d. thesis (1979)
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) crystalline cohomology; \(p\)-group schemes; characteristic \(p\); \(p\)- divisible groups; Dieudonné modules; Frobenius map De Jong, J., Finite locally free groups schemes in characteristic \textit{p} and Dieudonné modules, Invent. Math., 114, 89-137, (1993)
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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 Yu. I. Manin, ''Brouwer memorial lecture,'' Nieuw Arch. Wiskd. (4), 6, No. 1--2, 1--6 (1988).
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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) locally finite categories; coordinate Hopf algebras of affine groups; formal series; smash coproducts
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; Hopf algebras; Brauer groups; Proceedings; Algebra; Algebraic geometry; Antwerp (Belgium); Brussels (Belgium); SAGA
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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) actions of groups; linear algebra; topological groups; endomorphisms; Grassmannians; echelon matrices; groups preserving a bilinear form; quaternion fields; algebraic combinatorics; Lie groups; Platonic solids; topics from the projective plane; orthogonal groups; unitary groups; symplectic groups; Young tableaux; algebraic geometry; algebraic curves; surfaces configurations; special varieties; graphes; projective line; conics; representation theory; McKay correspondance Ph. Caldero, J. Germoni, \textit{Histoires Hédonistes de Groupes et de Géométries [Hedonistic Histories of Groups and Geometries].} Vol. 2, Calvage et Mounet, Paris, 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) transitive faithful group of permutations; moduli space of genus \(g\) surfaces; monodromy groups R. Guralnick and M. Neubauer, Monodromy groups of branched coverings: the generic case, in Recent Developments in the Inverse Galois Problem (Seattle, Wa, 1993), Contemporary Mathematics 186, American Mathematical Society, Providence, RI, 1995, pp. 325--352.
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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) \(p\)-divisible groups; formal groups; displays; Dieudonné modules; crystalline Dieudonné theory Zink, Th., The display of a formal \(p\)-divisible group, Astérisque, 278, 127-248, (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) Klein surfaces; genus; Riemann surfaces; NEC groups; alternating groups; Hurwitz groups; \(H^*\)-groups
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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) embedding functor; classical groups; Brauer-Manin obstruction
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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; extension; Witt vector rings
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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) hyperplane sections of a curve; positive characteristic; trisecant line; postulation; index of regularity; monodromy groups Ballico, E.; Cossidente, A.: On the generic hyperplane section of curves in positive characteristic. J. pure appl. Algebra 102, 243-250 (1995)
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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) Lefschetz surfaces; full automorphism groups; parametrization space; uniformization; special domains; number of zero; one dimensional components of the singular locus of moduli space; affine equations for Riemann surfaces; equilateral surfaces Giancarlo Urzúa, Riemann surfaces of genus \? with an automorphism of order \? prime and \?>\?, Manuscripta Math. 121 (2006), no. 2, 169 -- 189.
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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 geometry; canonically polarized surfaces; automorphisms; vector fields; moduli stack; characteristic \(p\)
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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) Hopf algebra; quantum group; separable algebra; braided monoidal categories; Brauer groups van Oystaeyen, F.; Zhang, Y.H., Brauer groups of actions, (), 299-309, Rings, Hopf Algebras, and Brauer Groups, Antwerp/Brussels, 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) surfaces of general type; Noether inequality; Horikawa surfaces; positive characteristic Liedtke, C., \textit{algebraic surfaces of general type with small \textit{c}_{1}2 in positive characteristic}, Nagoya Math. J., 191, 111-134, (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) Deformations of formal groups; \(p\)-adic period maps O. Demchenko and A. Gurevich, \(p\)-adic period map for the moduli space of deformations of a formal group, J. Algebra 288 (2005), 445--462.
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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) Picard groups; 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) automorphism groups of Riemann surfaces; hyperelliptic Riemann surfaces; \(p\)-hyperelliptic Riemann surfaces; \(p\)-gonal Riemann surfaces; Fuchsian groups; uniformization theorem Gromadzki, G., Weaver, A., Wootton, A.: On gonality of Riemann surfaces. Geom. Dedic. 149(1), 1--14 (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) \(p\)-adic analysis; toric hypersurfaces; Newton polyhedron; formal groups; Cartier operator; Hasse-Witt matrix
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; higher Chow groups; higher regulators; variation of Hodge structures; \(K3\) surfaces
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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; formal groups; invariant differentials
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); 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; compact Riemann surfaces; group actions; automorphism groups; integration theory; divisors; Riemann-Roch theorem; Abel's theorem; line bundles R. Miranda, \textit{Algebraic Curves and Riemann Surfaces}, Graduate Studies in Mathematics, Vol. 5, American Mathematical Society, 1995.
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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 cycles; Chow groups; intermediate Jacobians; Albanese map; algebraic surfaces; Bloch conjecture --. --. --. --., Some results on Green's higher Abel-Jacobi map , Ann. of Math. (2) 149 (1999), 451--473. 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) \(p\)-divisible groups; characteristic \(p\); slope filtrations; Newton polygon Oort, Frans; Zink, Thomas, Families of {\(p\)}-divisible groups with constant {N}ewton polygon, Documenta Mathematica, 7, 183-201, (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) super elliptic curves; super KP hierarchy; super Riemann surfaces; Picard groups; Jacobian; divisor class group; isogenies; super-Kadomtsev- Petviashvili hierarchy Rabin J.M.: Super elliptic curves. J. Geom. Phys. 15, 252--280 (1995)
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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) local symbol; integral polynomials over quartic number fields; ramification; Polya field with class number one; product formula of local group homomorphisms; Brauer groups of global fields; decomposition group; Frobenius element; Stickelberger congruence; quadratic reciprocity law Zantema, H., ?Global restrictions on ramification in number fields?, to appear
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli space of curves; cohomology of the mapping class group; orientable surfaces; characteristic classes; Mumford-Morita-Miller classes Kawazumi, N., Morita, S.: The primary approximation to the cohomology of the moduli space of curves and cocycles for the Mumford-Morita-Miller classes. http://kyokan.ms.u-tokyo.ac.jp/users/preprint/pdf/2001-13.pdf (\textbf{Preprint})
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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 groups; equivariant modules; Euler characteristic; minimal degeneration of nilpotent orbits Klimek, J.; Kraskiewicz, W.; Shimozono, M.; Weyman, J.: On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra \(gl(n)\). J. pure appl. Algebra 153, 237-261 (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) affine formal schemes; 1-dimensional formal groups; stable homotopy; analogue of Grothendieck-Serre dualizing complex; chromatic tower; Morava \(K\)-theory; Lubin-Tate space of deformations; étale, rigid analytic map M. J. Hopkins and B. H. Gross, ''The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory,'' Bull. Amer. Math. Soc., vol. 30, iss. 1, pp. 76-86, 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) Weierstrass model of elliptic curve; formal power series; absolute logarithmic heights; bounds for coefficients of polynomials; linear forms in elliptic logarithms
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) reductive subgroups; prime characteristic; character varieties; strong reductivity; finite groups; reductive algebraic groups; finite morphisms; coordinate rings Martin B.: Reductive subgroups of reductive groups in nonzero characteristic. J. Algebra 262(2), 265--286 (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) Frobenius; Gauss map; Grassmannian; positive characteristic; weighted complete intersections; surfaces; 3-folds Noma, A., Stability of Frobenius pull-backs of tangent bundles and generic injectivity of Gauss maps in positive characteristic, Compos. Math., 106, 61-70, (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) characteristic \(p\); good reduction; constructing unramified coverings of the affine line; modular curves; Galois groups of unramified coverings of the affine line; Klein curve; Macbeath curve; big automorphism groups; Jacobian varieties
| 0 |
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) hyperbolic formal modules; formal modules; 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) Witt groups; formal commutative groups; p-typical curves; Cartier theorems
| 0 |
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