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arXiv · 2312.15369

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

Sebastian Casalaina-Martin·Samuel Grushevsky·Klaus Hulek
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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.

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Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek. 2023-12-23. The birational geometry of moduli of cubic surfaces and cubic surfaces with a line. https://doi.org/10.1112/mod.2024.12

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