Open Access
Summer 2015 Elliptic curves on Abelian varieties
Robert Auffarth II
Illinois J. Math. 59(2): 319-336 (Summer 2015). DOI: 10.1215/ijm/1462450703

Abstract

Given a principally polarized Abelian variety $(A,\Theta)$, we give a characterization of all elliptic curves that lie on $A$ in terms of intersection numbers of divisor classes in its Néron–Severi group.

Citation

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Robert Auffarth II. "Elliptic curves on Abelian varieties." Illinois J. Math. 59 (2) 319 - 336, Summer 2015. https://doi.org/10.1215/ijm/1462450703

Information

Received: 8 February 2015; Revised: 26 February 2016; Published: Summer 2015
First available in Project Euclid: 5 May 2016

zbMATH: 1344.14027
MathSciNet: MR3499514
Digital Object Identifier: 10.1215/ijm/1462450703

Subjects:
Primary: 14K02 , 14K12 , 32G20

Rights: Copyright © 2015 University of Illinois at Urbana-Champaign

Vol.59 • No. 2 • Summer 2015
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