Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomologie \'etale des espaces d'arcs   We establish a structure theorem on the arc space of a $k$-scheme of finite
type. More precisely, we show that the arc space is locally for the pro-smooth
toplogy a product of an infinite dimensional affine space and of a
non-noetherian scheme, stratified by $k$-schemes of finite type, that glues the
different formal completions of the arc space. This statement globalizes
Drinfeld-Grinberg-Kazhdan's theorem and proves a conjecture of Kollar and
Nemethi. Then, we use this theorem to construct a derived category of
constructible sheaves, stable by six operations and we show a finiteness result
for the cohomology.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org