An Inductive Approach to Basepoint-Freeness of Adjoint Series on Irregular Varietiess
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914038884073472 |
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| author | Ammar, Houari Benammar |
| author_facet | Ammar, Houari Benammar |
| contents | In this paper, we show how to prove the basepoint-freeness for linear systems on irregular varieties inductively. For instance, we prove that Fujita's conjecture holds for irregular varieties of dimension $\mathnormal{n}$ with a nef anticanonical bundle assuming it holds for lower-dimensional varieties and under mild conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Inductive Approach to Basepoint-Freeness of Adjoint Series on Irregular Varietiess Ammar, Houari Benammar Algebraic Geometry In this paper, we show how to prove the basepoint-freeness for linear systems on irregular varieties inductively. For instance, we prove that Fujita's conjecture holds for irregular varieties of dimension $\mathnormal{n}$ with a nef anticanonical bundle assuming it holds for lower-dimensional varieties and under mild conditions. |
| title | An Inductive Approach to Basepoint-Freeness of Adjoint Series on Irregular Varietiess |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2408.04733 |