Generation by Sections and k-Ampleness

Nahm, Werner and Laytimi, F. (2012) Generation by Sections and k-Ampleness. (Preprint)

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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.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 13:59
Last Modified:	14 Dec 2022 21:14
URI:	https://dair.dias.ie/id/eprint/646

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