Counterexamples to containment problems for fat points schemes in the projective plane via multiplier ideals

Víctor González-Alonso; Piotr Pokora

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arXiv · 1702.07509

Counterexamples to containment problems for fat points schemes in the projective plane via multiplier ideals

Víctor González-Alonso·Piotr Pokora

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Abstract

In this note we address the relation between symbolic and ordinary powers of the ideal of a reduced set or points in projective space: the so-called containment problem. In particular, we obtain sharp lower bounds on the Waldschmidt constants of ideals of points in the plane not satisfying $I^{(2r-1)} \subseteq I^r$.

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Víctor González-Alonso, Piotr Pokora. 2017-02-24. Counterexamples to containment problems for fat points schemes in the projective plane via multiplier ideals. https://arxiv.org/abs/1702.07509

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