The KSBA moduli space of stable log Calabi-Yau surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914053065015296 |
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| author | Alexeev, Valery Argüz, Hülya Bousseau, Pierrick |
| author_facet | Alexeev, Valery Argüz, Hülya Bousseau, Pierrick |
| contents | We prove that every irreducible component of the coarse Kollár-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi--Yau surfaces admits a finite cover by 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The KSBA moduli space of stable log Calabi-Yau surfaces Alexeev, Valery Argüz, Hülya Bousseau, Pierrick Algebraic Geometry Symplectic Geometry We prove that every irreducible component of the coarse Kollár-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi--Yau surfaces admits a finite cover by 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. |
| title | The KSBA moduli space of stable log Calabi-Yau surfaces |
| topic | Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2402.15117 |