On the valuative Nagata conjecture
Algebraic Geometry
2025-04-09 v1
Abstract
We provide several equivalent conditions for a plane divisorial valuation of a smooth projective surface to be minimal with respect to an ample divisor. These conditions involve a valuative Seshadri constant and other global tools of the surface defined by the divisorial valuation. As a consequence, we derive several equivalent statements for the valuative Nagata conjecture and some related results.
Cite
@article{arxiv.2208.11041,
title = {On the valuative Nagata conjecture},
author = {Carlos Galindo and Francisco Monserrat and Carlos-Jesús Moreno-Ávila and Julio José Moyano-Fernández},
journal= {arXiv preprint arXiv:2208.11041},
year = {2025}
}
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