Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Higgs bundles over positive principal elliptic fibrations   Let $M$ be a compact complex manifold of dimension at least three and $\Pi :
M\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact
K\"ahler orbifold. Fix a preferred Hermitian metric on $M$. In \cite{V}, the
third author proved that every stable vector bundle on $M$ is of the form
$L\otimes \Pi^*B_0$, where $B_0$ is a stable vector bundle on $X$, and $L$ is a
holomorphic line bundle on $M$. Here we prove that every stable Higgs bundle on
$M$ is of the form $(L\otimes \Pi^*B_0,\Pi^*\Phi_X)$, where $(B_0, \Phi_X)$ is
a stable Higgs bundle on $X$ and $L$ is a holomorphic line bundle on $M$.

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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th