Bernstein polynomial and value set of differentials for plane branches
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912551993868288 |
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| author | Guimarães, Andrea Gomes Hernandes, Marcelo Escudeiro |
| author_facet | Guimarães, Andrea Gomes Hernandes, Marcelo Escudeiro |
| contents | In this work, we study the relation between the roots of the Bernstein polynomial $\widetilde{b}$ and the value set of differentials $Λ$ for plane branches. For plane branches defined by semiquasihomogeneous polynomial we describe the set of common roots of $\widetilde{b}$ sharing by every branch with a fixed $Λ$ set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bernstein polynomial and value set of differentials for plane branches Guimarães, Andrea Gomes Hernandes, Marcelo Escudeiro Algebraic Geometry Commutative Algebra 14H20, 32S10, 14F10 In this work, we study the relation between the roots of the Bernstein polynomial $\widetilde{b}$ and the value set of differentials $Λ$ for plane branches. For plane branches defined by semiquasihomogeneous polynomial we describe the set of common roots of $\widetilde{b}$ sharing by every branch with a fixed $Λ$ set. |
| title | Bernstein polynomial and value set of differentials for plane branches |
| topic | Algebraic Geometry Commutative Algebra 14H20, 32S10, 14F10 |
| url | https://arxiv.org/abs/2508.17572 |