Year: 2025
Type: article
Abstract: Working in the category of smooth projective varieties over an algebraically closed field of characteristic 0, we review notions of ampleness and numerical nefness for Higgs bundles which “feel” the Higgs field and formulate criteria of the Barton-Kleiman type for these notions. We give an application to minimal surfaces of general type that saturate the Miyaoka-Yau inequality, showing that their cotangent bundle is ample.
Source: Revista Matemática Complutense
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Scuola Internazionale Superiore di Studi Avanzati, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Georgian National Science Foundation, Ministerio de Ciencia e Innovación, Universidad de Salamanca, Ministero dell'Università e della Ricerca, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni, European Regional Development Fund, Agencia Estatal de Investigación
OpenAlex ID: W4415619331