Nous construisons la composante générique de l’espace des modules de germes de courbes legendriennes dont la projection sur un plan générique est topologiquement équivalente à la courbe .
We construct the generic component of the moduli space of the germs of Legendrian curves with generic plane projection topologically equivalent to a curve .
@article{AFST_2009_6_18_4_797_0,
author = {Ant\'onio Ara\'ujo and Orlando Neto},
title = {Moduli of {Germs} of {Legendrian} {Curves}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {797--809},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 18},
number = {4},
year = {2009},
doi = {10.5802/afst.1224},
mrnumber = {2590388},
zbl = {1187.14004},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1224/}
}
TY - JOUR AU - António Araújo AU - Orlando Neto TI - Moduli of Germs of Legendrian Curves JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2009 SP - 797 EP - 809 VL - 18 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1224/ DO - 10.5802/afst.1224 LA - en ID - AFST_2009_6_18_4_797_0 ER -
%0 Journal Article %A António Araújo %A Orlando Neto %T Moduli of Germs of Legendrian Curves %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2009 %P 797-809 %V 18 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1224/ %R 10.5802/afst.1224 %G en %F AFST_2009_6_18_4_797_0
António Araújo; Orlando Neto. Moduli of Germs of Legendrian Curves. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 4, pp. 797-809. doi : 10.5802/afst.1224. https://afst.centre-mersenne.org/articles/10.5802/afst.1224/
[1] Arnold (V.I.).— First steps in local contact algebra, Can. J. Math. 51, No.6, p. 1123-1134 (1999). | MR | Zbl
[2] Delorme (C.).— Sur les modules des singularités des courbes planes, Bull. Soc. Math. France 106, p. 417-446 (1978). | Numdam | MR | Zbl
[3] Greuel (G.-M.) and Pfister (G.).— Moduli for singularities. J.-P. Brasselet (ed.), Singularities, Lond. Math. Soc. Lect. Note Ser. 201, p. 119-146 (1994). | MR | Zbl
[4] Kashiwara (M.) and Kawai (T.).— On holonomic systems of microdifferential equations. III: Systems with regular singularities. Publ. Res. Inst. Math. Sci. 17, p. 813-979 (1981). | MR | Zbl
[5] Kashiwara (M.).— Systems of microdifferential equations. Progress in Mathematics, 34. Birkhauser. | MR | Zbl
[6] Neto (O.).— Equisingularity and Legendrian curves, Bull. London Math. Soc. 33, p. 527-534 (2001). | MR | Zbl
[7] Peraire (R.).— Moduli of plane curve singularities with a single characteristic exponent, Proc. Am. Math. Soc. 126, No.1, p. 25-34 (1998). | MR | Zbl
[8] Zariski (O.).— Le problème des modules pour les branches planes. Hermann (1970). | MR | Zbl
Cité par Sources :