Multiplicities of Jumping Numbers
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912252719792128 |
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| author | Pande, Suchitra |
| author_facet | Pande, Suchitra |
| contents | We study multiplicities of jumping numbers of multiplier ideals in a smooth variety of arbitrary dimension. We prove that the multiplicity function is a quasi-polynomial, hence proving that the Poincaré series is a rational function. We further study when the various components of the quasi-polynomial have the highest possible degree and relate it to jumping numbers contributed by Rees valuations. Finally, we study the special case of monomial ideals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_07080 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Multiplicities of Jumping Numbers Pande, Suchitra Algebraic Geometry Commutative Algebra 14F18 (Primary) 13D40 (Secondary) We study multiplicities of jumping numbers of multiplier ideals in a smooth variety of arbitrary dimension. We prove that the multiplicity function is a quasi-polynomial, hence proving that the Poincaré series is a rational function. We further study when the various components of the quasi-polynomial have the highest possible degree and relate it to jumping numbers contributed by Rees valuations. Finally, we study the special case of monomial ideals. |
| title | Multiplicities of Jumping Numbers |
| topic | Algebraic Geometry Commutative Algebra 14F18 (Primary) 13D40 (Secondary) |
| url | https://arxiv.org/abs/2102.07080 |