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Mathematical Research Letters
Article
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arXiv.org e-Print Archive
Preprint . 1999
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Mathematical Research Letters
Article . 2000 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1999
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https://dx.doi.org/10.4310/mrl...
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Hyperelliptic jacobians without complex multiplication

Hyperelliptic Jacobians without complex multiplication
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2000Embargo end date: 01 Jan 1999 English Publisher:International Press of BostonJournal:Mathematical Research Letters, volume 7, pages 123-132 (issn: 1073-2780, eissn: 1945-001X, Copyright policy )
Authors: Zarhin, Yuri G.;

doi: 10.4310/mrl.2000.v7.n1.a11 , 10.48550/arxiv.math/9909052

arXiv: math/9909052

Hyperelliptic jacobians without complex multiplication

Abstract

We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no nontrivial endomorphisms over an algebraic closure of the ground field of characteristic zero if the Galois group of the polynomial f is ``very big''.

LaTeX2e, 8 pages

Related Organizations
Keywords

endomorphism ring, 14H40, Mathematics - Number Theory, 11G30, 11G10, representations, hyperelliptic Jacobians, Abelian varieties of dimension \(> 1\), Mathematics - Algebraic Geometry, complex multiplication, FOS: Mathematics, Complex multiplication and abelian varieties, Number Theory (math.NT), Jacobians, Prym varieties, 14H40;14K05;11G30;11G10, 14K05, Algebraic Geometry (math.AG)

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    influence
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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!
28
Top 10%
Top 10%
Average
Green
bronze