Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigid rational homotopy types   In this paper we define a rigid rational homotopy type, associated to any
variety $X$ over a perfect field $k$ of positive characteristic. We prove
comparison theorems with previous definitions in the smooth and proper, and
log-smooth and proper case. Using these, we can show that if $k$ is a finite
field, then the Frobenius structure on the higher rational homotopy groups is
mixed. We also define a relative rigid rational homotopy type, and use it to
define a homotopy obstruction for the existence of sections.

3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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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: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin