Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution
Algebraic Geometry
2023-05-15 v2 Mathematical Physics
math.MP
Abstract
There are moduli spaces of K3 surfaces with a nonsymplectic involution. We give detailed descriptions of Kulikov models for one-parameter degenerations in . In the cases where the fixed locus of the involution has a component of genus , we identify normalizations of the KSBA compactifications of via stable pairs , with explicit semitoroidal compactifications of .
Keywords
Cite
@article{arxiv.2208.10383,
title = {Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution},
author = {Valery Alexeev and Philip Engel},
journal= {arXiv preprint arXiv:2208.10383},
year = {2023}
}
Comments
v2: More examples added and the references updated. 18 figures, 2 tables