### 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) |
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Pages (from-to) | 11404-11418 |

Number of pages | 15 |

Journal | International Mathematics Research Notices |

Volume | 2015 |

Issue number | 21 |

DOIs | |

State | Published - 2015 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Skorobogatov, A. N., & Zarhin, Y. G. (2015). A finiteness theorem for the Brauer group of K3 surfaces in odd characteristic.

*International Mathematics Research Notices*,*2015*(21), 11404-11418. https://doi.org/10.1093/imrn/rnv030