The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
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 cubic surfaces.
Authors
- Samuel Grushevsky (ORCID: https://orcid.org/0000-0002-9943-3804)
- Sebastian Casalaina‐Martin (ORCID: https://orcid.org/0000-0003-0887-846X)
- Klaus Hulek (ORCID: https://orcid.org/0000-0002-8824-7942)
Institutions
- Leibniz University Hannover (DE)
- University of Colorado Boulder (US)
- Simons Center for Geometry and Physics (US)
Publication Details
- Journal
- Moduli
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1112/mod.2024.12
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- London Mathematical Society
- Deutsche Forschungsgemeinschaft