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arXiv · 1211.6281

Generation by sections and $k$-ampleness

Werner Nahm·Fatima Laytimi
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Abstract

In the article "Submanifold of abelian varieties", A.J. Sommese proved that direct sum and tensor product of two vector bundles $E$ and $F$ over a smooth projective variety are $k$-ample if $E$ and $F$ are $k$-ample and are generated by global sections. Here we show that the latter condition is not needed.

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Werner Nahm, Fatima Laytimi. 2012-11-27. Generation by sections and $k$-ampleness. https://arxiv.org/abs/1211.6281

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