Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: J-embeddable reducible surfaces (enlarged version)   Let V be a variety in P^n(C) and let W be a linear space, of dimension w, in
P^n. We say that V can be isomorphically projected onto W if there exists a
linear projection f, from a suitable linear space L disjoint from W, dim(L) =
n-w-1 >= 0, such that f(V) is isomorphic to V. Let f' be the restriction of f
to V. We say that f' is a J-embedding of V (see K. W. Johnson: Immersion and
embedding of projective varieties, Acta Math. [140] (1981) 49-74) if f' is
injective and the differential of f' is a finite map. In this paper we classify
the J-embeddable reducible surfaces, equivalently, the reducible surfaces whose
secant variety has dimension at most 4. The classification is very detailed for
surfaces having two components. For three or more components we give a
reasonable classification, taking into account that the complete classification
is very rich of cases, subcases and subsubcases.

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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga