Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 'corrected Durfee's inequality' for homogeneous complete
  intersections   We address the conjecture of [Durfee1978], bounding the singularity genus,
p_g, by a multiple of the Milnor number, \mu, for an n-dimensional isolated
complete intersection singularity. We show that the original conjecture of
Durfee, namely (n+1)!p_g\leq \mu, fails whenever the codimension r is greater
than one. Moreover, we propose a new inequality, and we verify it for
homogeneous complete intersections. In the homogeneous case the inequality is
guided by a `combinatorial inequality', that might have an independent
interest.

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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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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: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th