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arXiv · 2010.06922

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

Klaus Hulek·Christian Lehn·Carsten Liese
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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.

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Klaus Hulek, Christian Lehn, Carsten Liese. 2020-10-14. On the GHKS compactification of the moduli space of K3 surfaces of degree two. https://arxiv.org/abs/2010.06922

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