Generalized holomorphic analytic torsion
classification
🧮 math.DG
math.AG
keywords
analyticholomorphictorsionarbitraryclassesgeneralizedmorphismsprojective
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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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