Contents Online
Mathematical Research Letters
Volume 20 (2013)
Number 6
Variation of the holomorphic determinant bundle
Pages: 1091 – 1101
DOI: https://dx.doi.org/10.4310/MRL.2013.v20.n6.a8
Author
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.
Published 13 June 2014