Generalized holomorphic analytic torsion
Differential Geometry
2011-02-14 v2 Algebraic Geometry
Abstract
We extend the holomorphic analytic torsion classes of Bismut and K\"ohler to arbitrary projective morphisms between smooth algebraic complex varieties. To this end, we propose an axiomatic definition and give a classification of the theories of generalized holomorphic analytic torsion classes for arbitrary projective morphisms.
Cite
@article{arxiv.1011.3702,
title = {Generalized holomorphic analytic torsion},
author = {J. I. Burgos Gil and G. Freixas i Montplet and R. Litcanu},
journal= {arXiv preprint arXiv:1011.3702},
year = {2011}
}
Comments
The original paper has been divided in two parts. The first part is "Hermitian structures on the derived category of coherent sheaves" arxiv:1102.2063. The second part is the present version. Besides the splitting, some typos have been corrected