Non effective planar linear systems at the boundary of the Mori cone

Ciro Ciliberto; Rick Miranda

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arXiv · 2111.02923

Non effective planar linear systems at the boundary of the Mori cone

Ciro Ciliberto·Rick Miranda

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Abstract

In this paper we prove that certain linear systems (and all their multiples) of plane curves with general base points and zero--self intersection are empty, thus exhibiting further examples of rays at the boundary of the Mori cone of a general blow--up of the plane.

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Ciro Ciliberto, Rick Miranda. 2021-11-04. Non effective planar linear systems at the boundary of the Mori cone. https://arxiv.org/abs/2111.02923

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