Brauer groups of moduli of hyperelliptic curves via cohomological invariants

被引：3

作者：

Di Lorenzo, Andrea ^{[1
]}

Pirisi, Roberto ^{[2
]}

机构：

[1] Humboldt Univ, Dept Math, Unter Linden 6, D-10099 Berlin, Germany

[2] Sapienza Univ Roma, Dipartimento Matemat Guido Castenuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy

来源：

FORUM OF MATHEMATICS SIGMA | 2021年 / 9卷

关键词：

Brauer Group; moduli stack; hyperelliptic curves; cohomological invariants; CYCLIC COVERS; CHOW RING; STACKS;

D O I：

10.1017/fms.2021.55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves H-g over any field of characteristic 0. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field.

引用

页码：2259 / 2333

页数：37

共 28 条

[1]

[Anonymous], 2003, Cohomological Invariants in Galois Cohomology

[2]

[Anonymous], 1996, Doc. Math.

[3] The Brauer group of the moduli stack of elliptic curves [J].

Antieau, Benjamin ;

Meier, Lennart .

ALGEBRA & NUMBER THEORY, 2020, 14 (09) :2295-2333

[4] Stacks of cyclic covers of projective spaces [J].

Arsie, A ;

Vistoli, A .

COMPOSITIO MATHEMATICA, 2004, 140 (03) :647-666

[5] STACKS OF TRIGONAL CURVES [J].

Bolognesi, Michele ;

Vistoli, Angelo .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (07) :3365-3393

[6]

De Jong A, de Jong ECOservices

[7] COHOMOLOGICAL INVARIANTS OF THE STACK OF HYPERELLIPTIC CURVES OF ODD GENUS [J].

Di Lorenzo, A. .

TRANSFORMATION GROUPS, 2021, 26 (01) :165-214

[8]

Di Lorenzo A., 2019, ARXIV191008758

[9]

Di Lorenzo A, 2021, DOC MATH, V26, P199

[10] The Chow Ring of the Stack of Hyperelliptic Curves of Odd Genus [J].

Di Lorenzo, Andrea .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (04) :2642-2681

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