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

Research output: Working paper/Preprint › Preprint

Authors

  • Klaus Hulek
  • Christian Lehn
  • Carsten Liese

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Original languageEnglish
Publication statusE-pub ahead of print - 14 Oct 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.

Keywords

    math.AG, math.CV, 14J10, 14J28 (Primary), 14D06, 14D20, 14E30, (Secondary)

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On the GHKS compactification of the moduli space of K3 surfaces of degree two. / Hulek, Klaus; Lehn, Christian; Liese, Carsten.
2020.

Research output: Working paper/Preprint › Preprint

Hulek, K., Lehn, C., & Liese, C. (2020). On the GHKS compactification of the moduli space of K3 surfaces of degree two. Advance online publication. https://arxiv.org/abs/2010.06922
Hulek K, Lehn C, Liese C. On the GHKS compactification of the moduli space of K3 surfaces of degree two. 2020 Oct 14. Epub 2020 Oct 14.
Hulek, Klaus ; Lehn, Christian ; Liese, Carsten. / On the GHKS compactification of the moduli space of K3 surfaces of degree two. 2020.
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