Singularities of base loci on abelian varieties
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911338381443072 |
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| author | Pareschi, Giuseppe |
| author_facet | Pareschi, Giuseppe |
| contents | We prove that the log canonical threshold of the base ideal of a complete linear system on a complex abelian variety is $\ge 1$, and equality holds if and only if the base locus has divisorial components. Consequently the same assertions hold for the ideal of the intersection of translates of theta divisors by the points of a finite subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Singularities of base loci on abelian varieties Pareschi, Giuseppe Algebraic Geometry We prove that the log canonical threshold of the base ideal of a complete linear system on a complex abelian variety is $\ge 1$, and equality holds if and only if the base locus has divisorial components. Consequently the same assertions hold for the ideal of the intersection of translates of theta divisors by the points of a finite subgroup. |
| title | Singularities of base loci on abelian varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.18919 |