• DOI:10.1007/978-3-319-46852-5_9
Corpus ID: 757889

Brauer Groups on K3 Surfaces and Arithmetic Applications

@article{McKinnie2017BrauerGO,
  title={Brauer Groups on K3 Surfaces and Arithmetic Applications},
  author={Kelly L. McKinnie and Justin Sawon and Sho Tanimoto and Anthony V{\'a}rilly-Alvarado},
  journal={arXiv: Algebraic Geometry},
  year={2017},
  pages={177-218}
}

Kelly L. McKinnie, Justin Sawon, +1 author Anthony Várilly-Alvarado

Published 2017

Mathematics

arXiv: Algebraic Geometry

For a prime p, we study subgroups of order p of the Brauer group Br(S) of a general complex polarized K3 surface of degree 2d, generalizing earlier work of van Geemen. These groups correspond to sublattices of index p of the transcendental lattice T S of S; we classify these lattices up to isomorphism using Nikulin’s discriminant form technique. We then study geometric realizations of p-torsion Brauer elements as Brauer-Severi varieties in a few cases via projective duality. We use one of these… CONTINUE READING

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