Work

A quick journey on stable sheaves and vector bundles

Year: 2025

Type: article

Abstract: In this article, we collect main results obtained from our collaboration with Edoardo Ballico. The topics cover various aspects on the theory of vector bundles and stable sheaves related to Castelnuovo–Mumford regularity, cohomological splitting criteria, globally generated vector bundles, arithmetically Cohen–Macaulay sheaves, logarithmic vector bundles, stable sheaves of rank zero and co-Higgs sheaves.

Source: Bollettino Della Unione Matematica Italiana

DOI: 10.1007/s40574-025-00474-7

Authors: Sukmoon Huh, Francesco Malaspina

Institutions: Sungkyunkwan University, Politecnico di Torino

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Politecnico di Torino, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni