A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic

Alexei N. Skorobogatov; Yuri G. Zarhin

doi:10.1093/imrn/rnv030

A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic

Alexei N. Skorobogatov, Yuri G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k)→Br(X) is finite modulo the p-primary torsion subgroup.

Original language	English (US)
Pages (from-to)	11404-11418
Number of pages	15
Journal	International Mathematics Research Notices
Volume	2015
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnv030
State	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnv030

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abstract = "Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k)→Br(X) is finite modulo the p-primary torsion subgroup.",

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AU - Zarhin, Yuri G.

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PY - 2015

Y1 - 2015

N2 - Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k)→Br(X) is finite modulo the p-primary torsion subgroup.

AB - Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k)→Br(X) is finite modulo the p-primary torsion subgroup.

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JO - International Mathematics Research Notices

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A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic

Abstract

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