Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic cycles and special Horikawa surfaces   This note is about a $16$-dimensional family of surfaces of general type with
$p_g=2$ and $q=0$ and $K^2=1$, called "special Horikawa surfaces". These
surfaces, studied by Pearlstein-Zhang and by Garbagnati, are related to K3
surfaces. We show that special Horikawa surfaces have a multiplicative
Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, the
Chow ring of special Horikawa surfaces displays K3-like behaviour.

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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph