Invariant Brauer group of an abelian variety

Autor: Martin Orr, Alexei N. Skorobogatov, Domenico Valloni, Yuri G. Zarhin
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Orr, M, Skorobogatov, A N, Valloni, D & Zarhin, Y G 2022, ' Invariant Brauer group of an abelian variety ', Israel Journal of Mathematics, vol. 249, no. 2, pp. 695-733 . https://doi.org/10.1007/s11856-022-2323-5
ISSN: 0021-2172
DOI: 10.1007/s11856-022-2323-5
Popis: We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the rank. We exhibit many cases in which the invariant Brauer group is zero, and construct complex abelian varieties in every dimension starting with 2, both simple and non-simple, with invariant Brauer group of order 2. We also address the situation in finite characteristic and over non-closed fields.
Comment: 32 pages, to appear in Israel J. Math
Databáze: OpenAIRE
Externí odkaz: