Prill's problem

2022/09/26 by Aaron Landesman, Daniel Litt, Landesman, Aaron +1
Computer Science · Mathematics · #14C20 #14H10 #14H45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2209.12958

openalex publication_date 2022/09/26 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

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 étale degree 36 connected cover f: X → Y where, for every point y ∈ Y, f^-1(y) moves in a pencil.

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