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- W1983231466 abstract "We address the conjecture of Durfee (Math Ann 232:85–98, 1978), 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 $$(n +1)!cdot p_g le mu $$ , fails whenever the codimension $$r$$ is greater than one. Moreover, we propose a new inequality $$C_{n,r}cdot p_g le mu $$ , 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." @default.
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- W1983231466 date "2012-12-11" @default.
- W1983231466 modified "2023-09-26" @default.
- W1983231466 title "The ‘corrected Durfee’s inequality’ for homogeneous complete intersections" @default.
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- W1983231466 doi "https://doi.org/10.1007/s00209-012-1120-y" @default.
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