Limit spectral distribution for non-degenerate hypersurface singularities



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Almirón, Patricio and Schulze, Mathias (2022) Limit spectral distribution for non-degenerate hypersurface singularities. Comptes Rendus Mathematique . ISSN 1631-073X

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We establish Kyoji Saito’s continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito’s notion of dominant value in the case of irreducible plane curve singularities, we find that the log canonical threshold is strictly bounded below by the doubled inverse of the Milnor number. We show that this bound is asymptotically sharp.

Item Type:Article
Uncontrolled Keywords:Complex surface and hypersurface singularities
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:74930
Deposited On:04 Oct 2022 12:00
Last Modified:04 Oct 2022 13:17

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