A quick journey on stable sheaves and vector bundles
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.
Authors
- Sukmoon Huh (ORCID: https://orcid.org/0000-0001-9604-8313)
- Francesco Malaspina (ORCID: https://orcid.org/0000-0002-6740-6051)
Institutions
- Politecnico di Torino (IT)
- Sungkyunkwan University (KR)
Publication Details
- Journal
- Bollettino dell Unione Matematica Italiana
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1007/s40574-025-00474-7
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Politecnico di Torino
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni