Low-dimensional factors of superelliptic Jacobians

Thomas Occhipinti, Douglas Ulmer

Research output: Contribution to journalArticle

Abstract

Given a polynomial (Formula presented.) , we consider the family of superelliptic curves (Formula presented.) and their Jacobians (Formula presented.) for varying integers (Formula presented.). We show that for any integer (Formula presented.) the number of abelian varieties up to isogeny of dimension (Formula presented.) g which appear in any (Formula presented.) is finite and their multiplicities are bounded.

Original languageEnglish (US)
Pages (from-to)279-285
Number of pages7
JournalEuropean Journal of Mathematics
Volume1
Issue number2
DOIs
StatePublished - Jun 1 2015
Externally publishedYes

Keywords

  • Abelian variety
  • Jacobian
  • Superelliptic curve

ASJC Scopus subject areas

  • Mathematics(all)

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