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

Grzegorz Malara; Tomasz Szemberg; Justyna Szpond

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

Algebraic Geometry 2017-01-19 v1 Commutative Algebra Complex Variables

Authors: Grzegorz Malara , Tomasz Szemberg , Justyna Szpond

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.

Keywords

Demailly conjecture Waldschmidt constants projective spaces general points lower bounds asymptotic invariants subschemes

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@article{arxiv.1701.04848,
  title  = {On a conjecture of Demailly and new bounds on Waldschmidt constants in ${\mathbb P}^N$},
  author = {Grzegorz Malara and Tomasz Szemberg and Justyna Szpond},
  journal= {arXiv preprint arXiv:1701.04848},
  year   = {2017}
}

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7 pages

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

Abstract

Keywords

Cite

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