Linear systems on abelian varieties of dimension 
Author:
Jaya N. Iyer
Journal:
Proc. Amer. Math. Soc. 130 (2002), 959-962
MSC (1991):
Primary 14C20, 14B05, 14E25
DOI:
https://doi.org/10.1090/S0002-9939-01-06264-5
Published electronically:
November 9, 2001
MathSciNet review:
1873767
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Abstract | References | Similar Articles | Additional Information
Abstract: We show that polarisations of type 
on 
-dimensional abelian varieties are never very ample, if 
. This disproves a conjecture of Debarre, Hulek and Spandaw. We also give a criterion for non-embeddings of abelian varieties into 
-dimensional linear systems.
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Additional Information
Jaya N. Iyer
Affiliation:
Institut de Mathématiques, Case 247, Université Paris-6, 4, Place Jussieu, 75252, Paris Cedex 05, France
Address at time of publication:
FB6, Mathematik, Universität GH Essen, 45117 Essen, Germany
Email:
iyer@math.jussieu.fr, jaya.iyer@uni-essen.de
DOI:
https://doi.org/10.1090/S0002-9939-01-06264-5
Received by editor(s):
May 10, 2000
Received by editor(s) in revised form:
October 10, 2000
Published electronically:
November 9, 2001
Communicated by:
Michael Stillman
Article copyright:
© Copyright 2001
American Mathematical Society
