Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Asymptotic of the Holomorphic Analytic Torsion Forms   The purpose of this paper is first to give an asymptotic formula for the
holomorphic analytic torsion forms of a fibration associated with increasing
powers of a given line bundle. Secondly, we generalize this formula, thanks to
the theory of Toeplitz operators, in the case where the powers of the line
bundle is replaced by the direct image of powers of a line bundle on a bigger
manifold. In both cases we have to make fiberwise positivity assumption on the
line bundle. This results are the family versions of the results of Bimsut and
Vasserot on the asymptotic of the holomorphic torsion.

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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph