Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Golod-Shafarevich-Vinberg type theorems and finiteness conditions for
  potential algebras   We obtain a lower estimate for the Hilbert series of Jacobi algebras and
their completions by providing analogue of the Golog-Shafarevich-Vinberg
theorem for potential case. We especially treat non-homogeneous situation. This
estimate allows to answer number of questions arising in the work of
Wemyss-Donovan-Brown on noncommutative singularities and deformation theory. In
particular, we prove that the only case when a potential algebra or its
completion could be finite dimensional or of linear growth, is the case of two
variables and potential having terms of degree three.

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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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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-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: physics