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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Projective normality of abelian varieties


Author: Jaya N. Iyer
Journal: Trans. Amer. Math. Soc. 355 (2003), 3209-3216
MSC (2000): Primary 14C20, 14K05, 14K25, 14N05
Published electronically: April 16, 2003
MathSciNet review: 1974682
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Abstract: We show that ample line bundles $L$ on a $g$-dimensional simple abelian variety $A$, satisfying $h^0(A,L)>2^g\cdot g!$, give projective normal embeddings, for all $g\geq 1$.


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Additional Information

Jaya N. Iyer
Affiliation: Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111, Bonn, Germany
Email: jniyer@mpim-bonn.mpg.de

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03303-8
PII: S 0002-9947(03)03303-8
Received by editor(s): December 5, 2001
Received by editor(s) in revised form: October 20, 2002
Published electronically: April 16, 2003
Article copyright: © Copyright 2003 American Mathematical Society