Variation of the holomorphic determinant bundle
arXiv:1205.6170 · doi:10.4310/MRL.2013.v20.n6.a8
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.
Comments are welcome