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Linear systems on abelian varieties of dimension |
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| Authors: | Jaya N. Iyer |
| Affiliation: | Institut de Mathématiques, Case 247, Université Paris-6, 4, Place Jussieu, 75252, Paris Cedex 05, France |
| 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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