Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large Discrete Sets in Stein manifolds   Rosay and Rudin constructed examples of discrete subsets of C^n with
remarkable properties. We generalize these constructions from C^n to arbitrary
Stein manifolds. We prove: Given a Stein manifold X and a affine variety V of
the same dimension there exists a discrete subset D in X such that (1) X-D is
measure hyperbolic, (2) f(V) intersects D for every non-degenerate holomorphic
map from V to X and (3) every automorphism of X preserving the set D is already
the identity map. We also give examples which demonstrate that such discrete
subsets can not be found in arbitrary non-Stein manifolds.

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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas