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.

Organisation(s)

Institut für Algebraische Geometrie
Riemann Center for Geometry and Physics

External Organisation(s)

University of Colorado Boulder
Stony Brook University (SBU)

Type

Artikel

Journal

Moduli

Volume

2025

ISSN

2977-1382

Publication date

20.03.2025

Publication status

Veröffentlicht

Peer reviewed

Yes

Electronic version(s)

https://doi.org/10.1112/mod.2024.12 (Access: Offen)
https://doi.org/10.48550/arXiv.2312.15369 (Access: Offen)