Work

On the valuative Nagata conjecture

Year: 2025

Type: article

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.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-025-00500-2

Authors: Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila, Julio-Jose Moyano-Fernández

Institutions: Universitat Jaume I, Universitat Politècnica de València, Universidad de Extremadura

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090