Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: GL(2,R)-Invariant Measures in Marked Strata: Generic Marked Points,
  Earle-Kra for Strata, and Illumination   We classify GL(2,R) invariant point markings over components of strata of
Abelian differentials. Such point markings exist only when the component is
hyperelliptic and arise from marking Weierstrass points or two points exchanged
by the hyperelliptic involution. We show that these point markings can be used
to determine the holomorphic sections of the universal curve restricted to
orbifold covers of subvarieties of the moduli space of Riemann surfaces that
contain a Teichmuller disk. The finite blocking problem is also solved for
translation surfaces with dense GL(2,R) orbit.

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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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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-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc