Generalized holomorphic analytic torsion

Mathematics – Differential Geometry

Scientific paper

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The original paper has been divided in two parts. The first part is "Hermitian structures on the derived category of coherent

Scientific paper

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.

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