February 23, 2024Open Access

The KSBA moduli space of stable log Calabi-Yau surfaces

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Resumen

We prove that every irreducible component of the Koll\'ar-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi-Yau surfaces is a finite quotient of a projective toric variety. This verifies a conjecture of Hacking-Keel-Yu. The proof combines tools from log smooth deformation theory, the minimal model program, punctured log Gromov-Witten theory and mirror symmetry.

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Alexeev et al. (Fri,) studied this question.

synapsesocial.com/papers/68e77f50b6db6435876f2d46 https://doi.org/https://doi.org/10.48550/arxiv.2402.15117

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