Work

Absolutely split locally free sheaves on proper k-schemes and Brauer–Severi varieties

Year: 2024

Type: article

Abstract: We classify absolutely split vector bundles on proper k-schemes. More precise, we prove that the closed points of the Picard scheme are in one-to-one correspondence with indecomposable absolutely split vector bundles. Furthermore, we apply the obtained results to study the geometry of (generalized) Brauer–Severi varieties.

Source: Bulletin des Sciences Mathématiques

DOI: 10.1016/j.bulsci.2024.103494

Author: Saša Novaković

Institution: Heinrich Heine University Düsseldorf

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,200

OpenAlex ID: W4401538127

FWCI:

Cites: 28

Cited by: 5

Related to: 10