On the valuative Nagata conjecture
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.
Authors
- Francisco Monserrat (ORCID: https://orcid.org/0000-0003-2221-0140)
- Carlos-Jesús Moreno-Ávila (ORCID: https://orcid.org/0000-0002-2374-5932)
- Julio José Moyano‐Fernández (ORCID: https://orcid.org/0000-0002-9128-4488)
- Carlos Galindo (ORCID: https://orcid.org/0000-0002-3908-4462)
Institutions
- Universitat Jaume I (ES)
- Universitat Politècnica de València (ES)
- Universidad de Extremadura (ES)
Publication Details
- Journal
- Research in the Mathematical Sciences
- Published
- 2025-02-23
- DOI
- https://doi.org/10.1007/s40687-025-00500-2
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Universitat Jaume I