Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910117983682560 |
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| author | Inchiostro, Giovanni Zhao, Junyan |
| author_facet | Inchiostro, Giovanni Zhao, Junyan |
| contents | This paper continues the study initiated in [ISZ25] on the moduli of surfaces admitting lc-trivial fibrations. Using the techniques developed in [ISZ25], we
(1) provide a classification of the surfaces appearing on the boundary of the KSBA-moduli space of elliptic surfaces with a bisection
(2) recover the results of a series of papers on the moduli stacks of elliptic surfaces with a section [AB22, Inc20, Bru15]. Notably, our proof of (2) avoids the use of explicit steps of an MMP, such as the "La Nave flip" from [LN02], which plays a central role in [AB22,Inc20]. As an application, we compactify the moduli stack of hyperelliptic K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces Inchiostro, Giovanni Zhao, Junyan Algebraic Geometry This paper continues the study initiated in [ISZ25] on the moduli of surfaces admitting lc-trivial fibrations. Using the techniques developed in [ISZ25], we (1) provide a classification of the surfaces appearing on the boundary of the KSBA-moduli space of elliptic surfaces with a bisection (2) recover the results of a series of papers on the moduli stacks of elliptic surfaces with a section [AB22, Inc20, Bru15]. Notably, our proof of (2) avoids the use of explicit steps of an MMP, such as the "La Nave flip" from [LN02], which plays a central role in [AB22,Inc20]. As an application, we compactify the moduli stack of hyperelliptic K3 surfaces. |
| title | Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.24017 |