Prill's problem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866915161853394944 |
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| author | Landesman, Aaron Litt, Daniel |
| author_facet | Landesman, Aaron Litt, Daniel |
| contents | We solve Prill's problem, originally posed by David Prill in the late 1970s and popularized in ACGH's "Geometry of Algebraic Curves." That is, for any curve $Y$ of genus $2$, we produce a finite étale degree $36$ connected cover $f: X \to Y$ where, for every point $y \in Y$, $f^{-1}(y)$ moves in a pencil. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12958 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Prill's problem Landesman, Aaron Litt, Daniel Algebraic Geometry 14H10, 14H45, 14C20 We solve Prill's problem, originally posed by David Prill in the late 1970s and popularized in ACGH's "Geometry of Algebraic Curves." That is, for any curve $Y$ of genus $2$, we produce a finite étale degree $36$ connected cover $f: X \to Y$ where, for every point $y \in Y$, $f^{-1}(y)$ moves in a pencil. |
| title | Prill's problem |
| topic | Algebraic Geometry 14H10, 14H45, 14C20 |
| url | https://arxiv.org/abs/2209.12958 |