Local effectivity in projective spaces
Algebraic Geometry
2018-02-27 v1 Commutative Algebra
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.
Cite
@article{arxiv.1802.08699,
title = {Local effectivity in projective spaces},
author = {Marcin Dumnicki and Tomasz Szemberg and Justyna Szpond},
journal= {arXiv preprint arXiv:1802.08699},
year = {2018}
}
Comments
17 pages, initial submission, comments welcome