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.
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DOI : 10.5802/crmath.335
@article{CRMATH_2022__360_G6_699_0,
author = {Almir\'on, Patricio and Schulze, Mathias},
title = {Limit spectral distribution for non-degenerate hypersurface singularities},
journal = {Comptes Rendus. Math\'ematique},
pages = {699--710},
publisher = {Acad\'emie des sciences, Paris},
volume = {360},
number = {G6},
year = {2022},
doi = {10.5802/crmath.335},
zbl = {07547268},
language = {en},
url = {http://www.numdam.org/articles/10.5802/crmath.335/}
}
TY - JOUR AU - Almirón, Patricio AU - Schulze, Mathias TI - Limit spectral distribution for non-degenerate hypersurface singularities JO - Comptes Rendus. Mathématique PY - 2022 SP - 699 EP - 710 VL - 360 IS - G6 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.335/ DO - 10.5802/crmath.335 LA - en ID - CRMATH_2022__360_G6_699_0 ER -
%0 Journal Article %A Almirón, Patricio %A Schulze, Mathias %T Limit spectral distribution for non-degenerate hypersurface singularities %J Comptes Rendus. Mathématique %D 2022 %P 699-710 %V 360 %N G6 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.335/ %R 10.5802/crmath.335 %G en %F CRMATH_2022__360_G6_699_0
Almirón, Patricio; Schulze, Mathias. Limit spectral distribution for non-degenerate hypersurface singularities. Comptes Rendus. Mathématique, Tome 360 (2022) no. G6, pp. 699-710. doi : 10.5802/crmath.335. http://www.numdam.org/articles/10.5802/crmath.335/
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