Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeta functions of nondegenerate hypersurfaces in toric varieties via
  controlled reduction in $p$-adic cohomology   We give an interim report on some improvements and generalizations of the
Abbott-Kedlaya-Roe method to compute the zeta function of a nondegenerate ample
hypersurface in a projectively normal toric variety over $\mathbb{F}_p$ in
linear time in $p$. These are illustrated with a number of examples including
K3 surfaces, Calabi-Yau threefolds, and a cubic fourfold. The latter example is
a non-special cubic fourfold appearing in the Ranestad-Voisin coplanar divisor
on moduli space; this verifies that the coplanar divisor is not a
Noether-Lefschetz divisor in the sense of Hassett.

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The categories of this paper are: cs
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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: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th