Work

Variation of the holomorphic determinant bundle

Year: 2013

Type: article

Abstract: In this paper, we prove that the Grothendieck-Riemann-Roch formula in Deligne cohomology computing the determinant of the cohomology of a holomorphic vector bundle on the fibers of a proper submersion between abstract complex manifolds is invariant by deformation of the bundle.

Source: Mathematical Research Letters

DOI: 10.4310/mrl.2013.v20.n6.a8

Author: Julien Grivaux

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2029970025

FWCI:

Cites: 18

Cited by: 1

Related to: 10