Some remarks on Brauer Classes of K3-type
Algebraic Geometry
2024-05-31 v1
Abstract
An element in the Brauer group of a general complex projective surface defines a sublattice of the transcendental lattice of . We consider those elements of prime order for which this sublattice is Hodge-isometric to the transcendental lattice of another K3 surface . We recall that this defines a finite map between moduli spaces of polarized K3 surfaces and we compute its degree. We show how the Picard lattice of determines the Picard lattice of in the case that the Picard number of is two.
Cite
@article{arxiv.2405.19848,
title = {Some remarks on Brauer Classes of K3-type},
author = {Federica Galluzzi and Bert van Geemen},
journal= {arXiv preprint arXiv:2405.19848},
year = {2024}
}
Comments
16 pages, submitted to Rendiconti Semin. Mat. Univ.Politecn. Torino, volume dedicated to the memory of Gianfranco Casnati