Linear systems on abelian varieties of dimension $2g+1$
نویسندگان
چکیده
منابع مشابه
0 Abelian Varieties into 2 g + 1 - dim . Linear Systems
We show that polarisations of type (1, ..., 1, 2g + 2) on g-dimensional abelian varieties are never very ample, if g ≥ 3. This disproves a conjecture of Debarre, Hulek and Spandaw. We also give a criterion for non-embeddings of abelian varieties into 2g + 1-dimensional linear systems.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-06264-5