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arXiv · 1802.08699

Local effectivity in projective spaces

Marcin Dumnicki·Tomasz Szemberg·Justyna Szpond
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Abstract

In this note we introduce a Waldschmidt decomposition of divisors which might be viewed as a generalization of Zariski decomposition based on the effectivity rather than the nefness of divisors. As an immediate application we prove a recursive formula providing new effective lower bounds on Waldschmidt constants of very general points in projective spaces. We use these bounds in order to verify Demailly's conjecture in a number of new cases.

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Marcin Dumnicki, Tomasz Szemberg, Justyna Szpond. 2018-02-23. Local effectivity in projective spaces. https://arxiv.org/abs/1802.08699

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