Low-dimensional factors of superelliptic Jacobians

Thomas Occhipinti; Douglas Ulmer

doi:10.1007/s40879-014-0023-3

Low-dimensional factors of superelliptic Jacobians

Thomas Occhipinti, Douglas Ulmer

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	279-285
Number of pages	7
Journal	European Journal of Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1007/s40879-014-0023-3
State	Published - Jun 1 2015

Keywords

Abelian variety
Jacobian
Superelliptic curve

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s40879-014-0023-3

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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.",

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AU - Ulmer, Douglas

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AB - 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.

KW - Abelian variety

KW - Jacobian

KW - Superelliptic curve

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Low-dimensional factors of superelliptic Jacobians

Abstract

Keywords

ASJC Scopus subject areas

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