Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: GL^+(2,R)-orbits in Prym eigenform loci   This paper is devoted to the classification of GL^+(2,R)-orbit closures of
surfaces in the intersection of the Prym eigenform locus with various strata of
quadratic differentials. We show that the following dichotomy holds: an orbit
is either closed or dense in a connected component of the Prym eigenform locus.
  The proof uses several topological properties of Prym eigenforms, which are
proved by the authors in a previous work. In particular the tools and the proof
are independent of the recent results of Eskin-Mirzakhani-Mohammadi.
  As an application we obtain a finiteness result for the number of closed
GL^+(2,R)-orbits (not necessarily primitive) in the Prym eigenform locus
Prym_D(2,2) for any fixed D that is not a square.

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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: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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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: econ
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The categories of this paper are: nucl-th