Projective normality of abelian varieties

Iyer, Jaya

doi:10.1090/S0002-9947-03-03303-8

Projective normality of abelian varieties
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by Jaya N. Iyer PDF

Trans. Amer. Math. Soc. 355 (2003), 3209-3216 Request permission

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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