Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic zeta functions and infinite cyclic covers   We associate with an infinite cyclic cover of a punctured neighborhood of a
simple normal crossing divisor on a complex quasi-projective manifold (assuming
certain finiteness conditions are satisfied) a rational function in $K_0({\rm
Var}^{\hat \mu}_{\mathbb{C}})[\mathbb{L}^{-1}]$, which we call {\it motivic
infinite cyclic zeta function}, and show its birational invariance. Our
construction is a natural extension of the notion of {\it motivic infinite
cyclic covers} introduced by the authors, and as such, it generalizes the
Denef-Loeser motivic Milnor zeta function of a complex hypersurface singularity
germ.

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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an