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Inventiones mathematicae
Article
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arXiv.org e-Print Archive
Preprint . 1999
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Inventiones mathematicae
Article . 2001 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 1999
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https://dx.doi.org/10.1007/s00...
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Characterization of abelian varieties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2001Embargo end date: 01 Jan 1999 Taiwan Publisher:Springer Science and Business Media LLCJournal:Inventiones Mathematicae, volume 143, pages 435-447 (issn: 0020-9910, eissn: 1432-1297, Copyright policy )
Authors: Chen, J.A.; Hacon, C.D.;

doi: 10.1007/s002220000111 , 10.48550/arxiv.math/9903184

arXiv: math/9903184

Characterization of abelian varieties

Abstract

We prove that any smooth complex projective variety $X$ with plurigenera $P_1(X)=P_2(X)=1$ and irregularity $q(X)=dim (X)$ is birational to an abelian variety.

10 pages, amstex

Country
Taiwan
Related Organizations
Keywords

Mathematics - Algebraic Geometry, Algebraic moduli of abelian varieties, classification, abelian variety, FOS: Mathematics, 14H45, 14H99, birational classification, Rational and birational maps, Algebraic Geometry (math.AG)

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    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).
    		 18
    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.
    		 Average
    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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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
18
Average
Top 10%
Average
Green
bronze