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Journal of Geometry and Physics
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Prym varieties and applications

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2008Embargo end date: 01 Jan 2007 English Publisher:Elsevier BVJournal:Journal of Geometry and Physics, volume 58, pages 1,063-1,079 (issn: 0393-0440, Copyright policy )
Authors: Lesfari, A.;

doi: 10.1016/j.geomphys.2008.04.005 , 10.48550/arxiv.0706.2372

arXiv: 0706.2372

Prym varieties and applications

Abstract

The classical definition of Prym varieties deals with the unramified covers of curves. The aim of the present paper is to give explicit algebraic descriptions of the Prym varieties associated to ramified double covers of algebraic curves. We make a careful study of the connection with the concept of algebraic completely integrable systems and we apply the methods to some problems of Mathematical Physics.

30 Pages

Related Organizations
Keywords

Computational aspects of algebraic curves, algebraic curves, FOS: Physical sciences, Mathematical Physics (math-ph), Prym varieties, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Mathematics - Algebraic Geometry, integrable systems, FOS: Mathematics, 14Q05,14H40,70H06., Jacobians, Prym varieties, Algebraic Geometry (math.AG), Mathematical Physics

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Top 10%
Average
Green
hybrid