The birational geometry of moduli of cubic surfaces and cubic surfaces with a line

Research output: Working paper/Preprint › Preprint

Authors

  • Sebastian Casalaina-Martin
  • Samuel Grushevsky
  • Klaus Hulek

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 23 Dec 2023

Abstract

We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. From this we also compute the corresponding cones for the moduli space of unmarked cubics surfaces.

Keywords

    math.AG, 14L24, 14F25, 14J26

Cite this

The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. / Casalaina-Martin, Sebastian; Grushevsky, Samuel; Hulek, Klaus.
2023.

Research output: Working paper/Preprint › Preprint

Casalaina-Martin, S., Grushevsky, S., & Hulek, K. (2023). The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. Advance online publication. https://doi.org/10.48550/arXiv.2312.15369
Casalaina-Martin S, Grushevsky S, Hulek K. The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. 2023 Dec 23. Epub 2023 Dec 23. doi: 10.48550/arXiv.2312.15369
Casalaina-Martin, Sebastian ; Grushevsky, Samuel ; Hulek, Klaus. / The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. 2023.
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