Publications at the Riemann Center

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

Authored by

Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek

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.

Details

Organisation(s)
Institute of Algebraic Geometry
Riemann Center for Geometry and Physics
External Organisation(s)
University of Colorado Boulder
Stony Brook University (SBU)
Type
Article
Journal
Moduli
Volume
2025
ISSN
2977-1382
Publication date
20.03.2025
Publication status
Published
Peer reviewed
Yes
Electronic version(s)
https://doi.org/10.1112/mod.2024.12 (Access: Open )
https://doi.org/10.48550/arXiv.2312.15369 (Access: Open )
PDF
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