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

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Sebastian Casalaina-Martin
  • Samuel Grushevsky
  • Klaus Hulek

External Research Organisations

  • University of Colorado Boulder
  • Stony Brook University (SBU)

Details

Original languageEnglish
Article numbere1
JournalModuli
Volume2025
Issue number2
Early online date11 Oct 2024
Publication statusPublished - 20 Mar 2025

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.
In: Moduli, Vol. 2025, No. 2, e1, 20.03.2025.

Research output: Contribution to journalArticleResearchpeer review

Casalaina-Martin S, Grushevsky S, Hulek K. The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. Moduli. 2025 Mar 20;2025(2):e1. Epub 2024 Oct 11. doi: 10.1112/mod.2024.12, 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. In: Moduli. 2025 ; Vol. 2025, No. 2.
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