Sextic double solids with Artin-Mumford obstructions to rationality
Algebraic Geometry
2019-09-16 v2
Abstract
We study a double solid X branched along a nodal sextic surface in a projective space and the 2-torsion subgroup in the third integer cohomology group of a resolution of singularities of X. This group can be considered as an obstruction to rationality of X. Studying this group we conclude that all sextic double solids admitting non-trivial obstructions to rationality are branched along determinantal surfaces of very specific type and we provide an explicit list of them.
Keywords
Cite
@article{arxiv.1901.05055,
title = {Sextic double solids with Artin-Mumford obstructions to rationality},
author = {Alexandra Kuznetsova},
journal= {arXiv preprint arXiv:1901.05055},
year = {2019}
}
Comments
22 pages; v2: exposition improved, some typos corrected