Potential modularity for elliptic curves and some applications

Cristian Virdol

doi:10.1016/j.jnt.2009.06.010

Potential modularity for elliptic curves and some applications

Cristian Virdol

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper we prove the simultaneous potential modularity for a finite number of elliptic curves defined over a totally real field. As an application we prove the meromorphic continuation of some L-functions associated to elliptic curves and Tate conjecture for a product of 2 or 4 elliptic curves defined over a totally real field.

Original language	English
Pages (from-to)	3109-3114
Number of pages	6
Journal	Journal of Number Theory
Volume	129
Issue number	12
DOIs	https://doi.org/10.1016/j.jnt.2009.06.010
Publication status	Published - 2009 Dec

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2009.06.010

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title = "Potential modularity for elliptic curves and some applications",

abstract = "In this paper we prove the simultaneous potential modularity for a finite number of elliptic curves defined over a totally real field. As an application we prove the meromorphic continuation of some L-functions associated to elliptic curves and Tate conjecture for a product of 2 or 4 elliptic curves defined over a totally real field.",

author = "Cristian Virdol",

year = "2009",

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AB - In this paper we prove the simultaneous potential modularity for a finite number of elliptic curves defined over a totally real field. As an application we prove the meromorphic continuation of some L-functions associated to elliptic curves and Tate conjecture for a product of 2 or 4 elliptic curves defined over a totally real field.

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JO - Journal of Number Theory

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Potential modularity for elliptic curves and some applications

Abstract

All Science Journal Classification (ASJC) codes

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