Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hom Version of the Grothendieck Conjecture for Hyperbolic
  Polycurves of Dimension 2   In this paper, we study the Hom version of the Grothendieck Conjecture for
hyperbolic polycurves of dimension 2. We group theoretically characterize
dominant morphisms from regular varieties to hyperbolic polycurves of dimension
2 in some sense. Also, we show that any open group homomorphism between their
fundamental groups is induced by a morphism of varieties if the Grothendieck
Section Conjecture holds.

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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
34
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: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas