Eggers decomposition of polar curves in positive characteristic
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912613300961280 |
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| author | de Felipe, Ana Belén Barroso, Evelia R. García Gwoździewicz, Janusz |
| author_facet | de Felipe, Ana Belén Barroso, Evelia R. García Gwoździewicz, Janusz |
| contents | Let $f$ be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read from the Eggers-Wall tree of $f$, for $\frac{\partial f}{\partial y}$ to admit Eggers decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24078 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eggers decomposition of polar curves in positive characteristic de Felipe, Ana Belén Barroso, Evelia R. García Gwoździewicz, Janusz Algebraic Geometry 14H20 (Primary), 14B05 (Secondary) Let $f$ be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read from the Eggers-Wall tree of $f$, for $\frac{\partial f}{\partial y}$ to admit Eggers decomposition. |
| title | Eggers decomposition of polar curves in positive characteristic |
| topic | Algebraic Geometry 14H20 (Primary), 14B05 (Secondary) |
| url | https://arxiv.org/abs/2509.24078 |