Compact moduli of elliptic K3 surfaces
Algebraic Geometry
2021-12-21 v5
Abstract
We construct various modular compactifications of the space of elliptic K3 surfaces using tools from the minimal model program, and explicitly describe the surfaces parametrized by their boundaries. The coarse spaces of our constructed compactifications admit morphisms to the Satake-Baily-Borel compactification. Finally, we show that one of our spaces is smooth with coarse space the GIT quotient of pairs of Weierstrass K3 surfaces with a chosen fiber.
Cite
@article{arxiv.1902.10686,
title = {Compact moduli of elliptic K3 surfaces},
author = {Kenneth Ascher and Dori Bejleri},
journal= {arXiv preprint arXiv:1902.10686},
year = {2021}
}
Comments
36 pages, expository changes; to appear in Geometry & Topology