Computing Hironaka's invariants: Ridge and Directrix

Jérémy Berthomieu 1, * Pascal Hivert 2 Hussein Mourtada 2
* Auteur correspondant
1 Équipe Max
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 Équipe Algèbre et Géométrie
LMV - Laboratoire de Mathématiques de Versailles
Abstract : In this note we present Hironaka's invariants as developed by Giraud: the ridge and the directrix. We give an effective definition and a functorial one and show their equivalence. The fruit is an effective algorithm that computes the additive generators of the "ridge", and the generators of its invariant algebra.
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Communication dans un congrès
Edited by David Kohel and Robert Rolland. Papers from the 12th Conference (AGC2T 12) held in Marseille, March 30--April 3, 2009, the 1st Geocrypt Conference held in Pointe-à-Pitre, April 27-May 1, 2009, and the European Science Foundation Exploratory Workshop on Curves, Coding Theory and Cryptography held in Marseille, March 25-29, 2009., Mar 2009, Marseille, France. American Mathematical Society, Providence, RI, 521, pp.12, 2010, Contempory Mathematics. 〈10.1090/conm/521〉
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Contributeur : Jérémy Berthomieu <>
Soumis le : jeudi 17 juin 2010 - 10:37:31
Dernière modification le : jeudi 9 février 2017 - 15:09:24
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Jérémy Berthomieu, Pascal Hivert, Hussein Mourtada. Computing Hironaka's invariants: Ridge and Directrix. Edited by David Kohel and Robert Rolland. Papers from the 12th Conference (AGC2T 12) held in Marseille, March 30--April 3, 2009, the 1st Geocrypt Conference held in Pointe-à-Pitre, April 27-May 1, 2009, and the European Science Foundation Exploratory Workshop on Curves, Coding Theory and Cryptography held in Marseille, March 25-29, 2009., Mar 2009, Marseille, France. American Mathematical Society, Providence, RI, 521, pp.12, 2010, Contempory Mathematics. 〈10.1090/conm/521〉. 〈hal-00492824〉

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