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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)
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
Type
Preprint
Publication date
14.10.2020
Publication status
E-pub ahead of print
Electronic version(s)
https://arxiv.org/abs/2010.06922 (Access: Open)