On a conjecture of Demailly and new bounds on Waldschmidt constants in ${\mathbb{P}}^N$

Abstract

In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constants of such sets. Waldschmidt constants are asymptotic invariants of subschemes receiving recently considerable amount of attention.

arXiv comment7 pages

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Cited by in corpus (1)

• Containment problems for fat point schemes via asymptotic multiplier ideals