Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic Mappings between Hyperquadrics with Small Signature
  Difference   In this paper, we study holomorphic mappings sending a hyperquadric of
signature $\ell$ in $\bC^n$ into a hyperquadric of signature $\ell'$ in
$\bC^N$. We show (Theorem \ref{main}) that if the signature difference
$\ell'-\ell$ is not too large, then the mapping can be normalized by
automorphisms of the target hyperquadric to a particularly simple form and, in
particular, the image of the mapping is contained in a complex plane of a
dimension that depends only on $\ell$ and $\ell'$, and not on the target
dimension $N$. We also prove a Hopf Lemma type result (Theorem \ref{main2}) for
such mappings.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph