Multiplication Over Abelian Varieties

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1988Publisher:JSTORJournal:American Journal of Mathematics, volume 110, page 765 (issn: 0002-9327,

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Authors: Kempf, George R.;

doi: 10.2307/2374649

Multiplication Over Abelian Varieties

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Abstract

Sei X eine Abelsche Varietät über einem algebraisch abgeschlossenen Körper. Für Linienbündel L und M auf X betrachtet man die globalen Schnitte \(\Gamma\) (X,L), \(\Gamma\) (X,M) und \(\Gamma\) (X,L\(\otimes M)\). Der Autor untersucht die Surjektivität der Multiplikationsabbildung \(\Gamma\) (X,L)\(\otimes \Gamma (X,M)\to \Gamma (X,L\otimes M)\) für bestimmte Linienbündel L und M.

Keywords

abelian variety, Sheaves, derived categories of sheaves, etc., global section of line bundle, Algebraic theory of abelian varieties

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