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1. HOLOMORPHIC L² TORSION WITHOUT DETERMINANT CLASS CONDITION.

Author

GUANGXIANG SU

Subjects
*HOLOMORPHIC functions, *TORSION theory (Algebra), *ALGEBRA, *MATHEMATICAL complex analysis, *MATHEMATICS
Abstract

In this paper, we extend the holomorphic L² torsion introduced by Carey, Farber and Mathai to the case without the determinant class condition. We compute the metric variation formula for the holomorphic L² torsion in our case. We also study the asymptotics of the holomorphic L² torsion associated with a power of a positive line bundle. [ABSTRACT FROM AUTHOR]

Published
2015
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