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arXiv · 2209.12958

Prill's problem

Aaron Landesman·Daniel Litt
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Abstract

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 \'etale degree $36$ connected cover $f: X \to Y$ where, for every point $y \in Y$, $f^{-1}(y)$ moves in a pencil.

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Aaron Landesman, Daniel Litt. 2022-09-26. Prill's problem. https://arxiv.org/abs/2209.12958

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