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

Authors :
Hulek, Klaus
Lehn, Christian
Liese, Carsten
Publication Year :
2020

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.<br />Comment: 50 pages, comments welcome!

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2010.06922
Document Type :
Working Paper