Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realization of an equivariant holomorphic Hermitian line bundle as a
  Quillen determinant bundle   Let $M$ be an irreducible smooth complex projective variety equipped with an
action of a compact Lie group $G$, and let $({\mathcal L},h)$ be a
$G$-equivariant holomorphic Hermitian line bundle on $M$. Given a compact
connected Riemann surface $X$, we construct a $G$-equivariant holomorphic
Hermitian line bundle $(L\,,H)$ on $X\times M$ (the action of $G$ on $X$ is
trivial), such that the corresponding Quillen determinant line bundle
$({\mathcal Q}, h_Q)$, which is a $G$--equivariant holomorphic Hermitian line
bundle on $M$, is isomorphic to the given $G$--equivariant holomorphic
Hermitian line bundle $({\mathcal L}\,,h)$. This proves a conjecture of Dey and
Mathai in \cite{DM}.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an