Variation of Archimedean Zeta Function and $n/d$-Conjecture for Generic Multiplicities
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910837799649280 |
|---|---|
| author | Shi, Quan Zuo, Huaiqing |
| author_facet | Shi, Quan Zuo, Huaiqing |
| contents | For $f_1,...,f_r\in \mathbb C[z_1,...,z_n]\setminus \mathbb C$, we introduce the variation of archimedean zeta function. As an application, we show that the $n/d$-conjecture, proposed by Budur, Mustaţă, and Teitler, holds for generic multiplicities. Consequently, strong monodromy conjecture holds for hyperplane arrangements with generic multiplicities as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variation of Archimedean Zeta Function and $n/d$-Conjecture for Generic Multiplicities Shi, Quan Zuo, Huaiqing Algebraic Geometry 14F10, 32S22, 32S40 For $f_1,...,f_r\in \mathbb C[z_1,...,z_n]\setminus \mathbb C$, we introduce the variation of archimedean zeta function. As an application, we show that the $n/d$-conjecture, proposed by Budur, Mustaţă, and Teitler, holds for generic multiplicities. Consequently, strong monodromy conjecture holds for hyperplane arrangements with generic multiplicities as well. |
| title | Variation of Archimedean Zeta Function and $n/d$-Conjecture for Generic Multiplicities |
| topic | Algebraic Geometry 14F10, 32S22, 32S40 |
| url | https://arxiv.org/abs/2411.00757 |