On the GHKS compactification of the moduli space of K3 surfaces of degree two

authored by

Klaus Hulek, Christian Lehn, Carsten Liese

Abstract

We investigate a toroidal compactification of the moduli space of K3 surfaces of degree \(2\) originating from the program formulated by Gross-Hacking-Keel-Siebert. This construction uses Dolgachev's formulation of mirror symmetry and the birational geometry of the mirror family. Our main result in an analysis of the toric fan. For this we use the methods developed by two of us in a previous paper.

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

Type

Preprint

Publication date

14.10.2020

Publication status

Elektronisch veröffentlicht (E-Pub)

Electronic version(s)

https://arxiv.org/abs/2010.06922 (Access: Offen)