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

Research output: Working paper/PreprintPreprint

Authors

  • Sebastian Casalaina-Martin
  • Samuel Grushevsky
  • Klaus Hulek

Details

Original languageEnglish
Publication statusE-pub ahead of print - 11 Oct 2024

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.
2024.

Research output: Working paper/PreprintPreprint

Casalaina-Martin, S., Grushevsky, S., & Hulek, K. (2024). 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. 2024 Oct 11. Epub 2024 Oct 11. 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. 2024.
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