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.

A quick journey on stable sheaves and vector bundles / Huh, Sukmoon; Malaspina, Francesco. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 18:3(2025), pp. 829-851. [10.1007/s40574-025-00474-7]

A quick journey on stable sheaves and vector bundles

Malaspina, Francesco
2025

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/3002815