Comparison of arithmetic Brauer groups with geometric Brauer groups

Xinyi Yuan

Comparison of arithmetic Brauer groups with geometric Brauer groups

Algebraic Geometry 2020-12-01 v2 Number Theory

Authors: Xinyi Yuan

Abstract

Let $X$ be a projective and smooth variety over a field $k$ . The goal of this paper is to prove that the cokernel of the canonical map $Br(X)\to Br(X_{k^s})^{G_k}$ has a finite exponent. Both groups are natural invariants arising from consideration of the Tate conjecture of divisors over $X$ .

Keywords

brauer algebras algebraic varieties field theory

Cite

@article{arxiv.2011.12897,
  title  = {Comparison of arithmetic Brauer groups with geometric Brauer groups},
  author = {Xinyi Yuan},
  journal= {arXiv preprint arXiv:2011.12897},
  year   = {2020}
}

Comments

20 pages

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