Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915270097895424 |
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| author | Sarkar, Supravat |
| author_facet | Sarkar, Supravat |
| contents | We study singularity of effective $\mathbb{Q}$-divisors on products of projective spaces of multidegree $(1,1...,1).$ This generalizes works of Bath, Musta{ţ}{ă} and Walther on singularity of square-free polynomials. We also give a lower bound on the log canonical threshold of a hypersurface in products of projective spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space Sarkar, Supravat Algebraic Geometry 14B05, 14J17, 32S25 We study singularity of effective $\mathbb{Q}$-divisors on products of projective spaces of multidegree $(1,1...,1).$ This generalizes works of Bath, Musta{ţ}{ă} and Walther on singularity of square-free polynomials. We also give a lower bound on the log canonical threshold of a hypersurface in products of projective spaces. |
| title | Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space |
| topic | Algebraic Geometry 14B05, 14J17, 32S25 |
| url | https://arxiv.org/abs/2505.00960 |