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

Fuente: arXiv
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Auteurs principaux: Casalaina-Martin, Sebastian, Grushevsky, Samuel, Hulek, Klaus
Format: Preprint
Publié: 2023
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author Casalaina-Martin, Sebastian
Grushevsky, Samuel
Hulek, Klaus
author_facet Casalaina-Martin, Sebastian
Grushevsky, Samuel
Hulek, Klaus
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15369
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
Casalaina-Martin, Sebastian
Grushevsky, Samuel
Hulek, Klaus
Algebraic Geometry
14L24, 14F25, 14J26
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.
title The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
topic Algebraic Geometry
14L24, 14F25, 14J26
url https://arxiv.org/abs/2312.15369