A remarkable subset of poles of the motivic zeta function
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911447919886336 |
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| author | Budur, Nero Poza, Eduardo de Lorenzo Shi, Quan Zuo, Huaiqing |
| author_facet | Budur, Nero Poza, Eduardo de Lorenzo Shi, Quan Zuo, Huaiqing |
| contents | For any polynomial f with complex coefficients we find a remarkable subset of poles of the motivic zeta function. It is combinatorially determined by any log resolution and it admits an intrinsic interpretation in terms of contact loci of f. This uncovers a new, unexpected difficulty with proving the monodromy conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13508 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A remarkable subset of poles of the motivic zeta function Budur, Nero Poza, Eduardo de Lorenzo Shi, Quan Zuo, Huaiqing Algebraic Geometry For any polynomial f with complex coefficients we find a remarkable subset of poles of the motivic zeta function. It is combinatorially determined by any log resolution and it admits an intrinsic interpretation in terms of contact loci of f. This uncovers a new, unexpected difficulty with proving the monodromy conjecture. |
| title | A remarkable subset of poles of the motivic zeta function |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.13508 |