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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Projective normality of abelian varieties

Author(s): Jaya N. Iyer
Journal: Trans. Amer. Math. Soc. 355 (2003), 3209-3216.
MSC (2000): Primary 14C20, 14K05, 14K25, 14N05
Posted: April 16, 2003
MathSciNet review: 1974682
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Abstract | References | Similar articles | Additional information

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 $g\geq 1$.


References:

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Lange, H. and Birkenhake, Ch. : Complex abelian varieties, Grundlehren der Mathematischen Wissenschaften, 302, Springer-Verlag, Berlin, (1992). MR 94j:14001

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Lazarsfeld, R.: Projectivité normale des surfaces abéliennes, Rédigé par O. Debarre. Prépublication No. 14, Europroj- C.I.M.P.A., Nice, (1990).

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Mumford, D.: Prym varieties I, in: Contributions to Analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 325-350 (1974). MR 52:415

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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: 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
Posted: April 16, 2003
Copyright of article: Copyright 2003, American Mathematical Society




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