Geodesic
Algèbre, Analyse et géométrie complexes
Limit spectral distribution for non-degenerate hypersurface singularities
Almirón, Patricio1  ; Schulze, Mathias2
1 Instituto de Matemática Interdisciplinar (IMI), Departamento de Álgebra, Geometría y Topología Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain
2 Department of Mathematics, TU Kaiserslautern, 67663 Kaiserslautern, Germany
Comptes Rendus. Mathématique, Tome 360 (2022) no. G6, pp. 699-710 Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.335
Classification : 32S25, 32S35, 42A38

Almirón, Patricio 1 ; Schulze, Mathias 2

1 Instituto de Matemática Interdisciplinar (IMI), Departamento de Álgebra, Geometría y Topología Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040, Madrid, Spain
2 Department of Mathematics, TU Kaiserslautern, 67663 Kaiserslautern, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
@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},
     year = {2022},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {360},
     number = {G6},
     doi = {10.5802/crmath.335},
     zbl = {07547268},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :