On positivity of line bundles on Enriques surfaces

Szemberg, Tomasz

doi:10.1090/S0002-9947-01-02788-X

On positivity of line bundles on Enriques surfaces
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by Tomasz Szemberg

Trans. Amer. Math. Soc. 353 (2001), 4963-4972

DOI: https://doi.org/10.1090/S0002-9947-01-02788-X

Published electronically: July 30, 2001

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Abstract:

We study linear systems on Enriques surfaces. We prove rationality of Seshadri constants of ample line bundles on Enriques surfaces and provide lower bounds on these numbers. We show the nonexistence of $k$-very ample line bundles on Enriques surfaces of degree $4k+4$ for $k\geq 1$, thus answering an old question of Ballico and Sommese.

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