Affiliation:
1. Department of Mathematics and Statistics University of Missouri – St. Louis St. Louis Missouri USA
2. Department of Mathematics & Statistics Utah State University Logan Utah USA
Abstract
AbstractWe study complex algebraic K3 surfaces with finite automorphism groups and polarized by rank 14, 2‐elementary lattices. Three such lattices exist, namely, , , and . As part of our study, we provide birational models for these surfaces as quartic projective hypersurfaces and describe the associated coarse moduli spaces in terms of suitable modular invariants. Additionally, we explore the connection between these families and dual K3 families related via the Nikulin construction.
Funder
Simons Foundation
University of Missouri-St. Louis
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