Back to Search Start Over

Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution

Authors :
Alexeev, Valery
Engel, Philip
Publication Year :
2022

Abstract

There are $75$ moduli spaces $F_S$ of K3 surfaces with a nonsymplectic involution. We give detailed descriptions of Kulikov models for one-parameter degenerations in $F_S$. In the $50$ cases where the fixed locus of the involution has a component $C_g$ of genus $g\ge2$, we identify normalizations of the KSBA compactifications of $F_S$ via stable pairs $(X,\epsilon C_g)$, with explicit semitoroidal compactifications of $F_S$.<br />Comment: v2: More examples added and the references updated. 18 figures, 2 tables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2208.10383
Document Type :
Working Paper