Teissier singularities

Hussein Mourtada; Bernd Schober

doi:10.5802/crmath.759

Research article - Algebraic geometry

Teissier singularities

Hussein Mourtada ¹; Bernd Schober ²

¹ Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, 75013 Paris, France
² Hamburg, Germany

Comptes Rendus. Mathématique, Volume 363 (2025), pp. 799-808.

Abstract (Original language)
Résumé

The goal of this note is to introduce Teissier singularities and to explain why they are candidate to play, in positive characteristics, a role for resolution of singularities which is similar to the role played by quasi-ordinary singularities in characteristic zero.

Nous introduisons les singularités Teissier et expliquons pourquoi elles sont candidates pour jouer, en caractéristiques positives, un rôle qui pour la résolution des singularités est similaire à celui joué par les singularités quasi-ordinaires en caractéristique zéro.

Received: 2025-02-03
Revised: 2025-04-30
Accepted: 2025-05-07
Published online: 2025-07-04

DOI: 10.5802/crmath.759

Classification: 14B05, 32S05, 14E15
Keywords: Singularities, resolution of singularities, positive characteristic, characteristic polyhedron, overweight deformations
Mots-clés : Singularités quasi-ordinaires, caractéristique positive, polyèdre caractéristique

Author's affiliations:

Hussein Mourtada ¹; Bernd Schober ²

¹ Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, 75013 Paris, France
² Hamburg, Germany

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Hussein Mourtada and Bernd Schober},
     title = {Teissier singularities},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {799--808},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {363},
     year = {2025},
     doi = {10.5802/crmath.759},
     language = {en},
}

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Hussein Mourtada; Bernd Schober. Teissier singularities. Comptes Rendus. Mathématique, Volume 363 (2025), pp. 799-808. doi : 10.5802/crmath.759. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.759/

References
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