Generalized holomorphic analytic torsion
arXiv:1011.3702
Abstract
We extend the holomorphic analytic torsion classes of Bismut and Köhler 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.
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