Variation of the holomorphic determinant bundle
Algebraic Geometry
2017-10-10 v1
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.
Cite
@article{arxiv.1205.6170,
title = {Variation of the holomorphic determinant bundle},
author = {Julien Grivaux},
journal= {arXiv preprint arXiv:1205.6170},
year = {2017}
}
Comments
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