Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: F-signature function of quotient singularities   We study the shape of the F-signature function of a $d$-dimensional quotient
singularity $\mathbb{k}[[ x_1,\ldots,x_d]]^G$, and we show that it is a
quasi-polynomial. We prove that the second coefficient is always zero and we
describe the other coefficients in terms of invariants of the finite acting
group $G\subseteq \mathrm{Gl}(d,\Bbbk)$. When $G$ is cyclic, we obtain more
specific formulas for the coefficients of the quasi-polynomial, which allow us
to compute the general form of the function in several examples.

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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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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: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat