[Déformations verselles microlocales des courbes planes
On introduit la notion de déformation verselle microlocale d'un germe de courbe plane. Nous construisons la déformation verselle équisingulière du conormal d'un germe de courbe plane irréductible semi-quasi-homogène.
We introduce the notion of microlocal versal deformation of a plane curve. We construct equisingular versal deformations of Legendrian curves that are the conormal of a semi-quasi-homogeneous branch.
Accepté le :
Publié le :
João Cabral 1 ; Orlando Neto 2
@article{CRMATH_2009__347_23-24_1409_0, author = {Jo\~ao Cabral and Orlando Neto}, title = {Microlocal versal deformations of the plane curves $ {y}^{k}={x}^{n}$}, journal = {Comptes Rendus. Math\'ematique}, pages = {1409--1414}, publisher = {Elsevier}, volume = {347}, number = {23-24}, year = {2009}, doi = {10.1016/j.crma.2009.10.026}, language = {en}, }
João Cabral; Orlando Neto. Microlocal versal deformations of the plane curves $ {y}^{k}={x}^{n}$. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1409-1414. doi : 10.1016/j.crma.2009.10.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.026/
[1] A. Araújo, O. Neto, Moduli of Legendrian curves, Ann. Fac. Sci. Toulouse Math., in press
[2] Introduction to Singularities and Deformations, Springer, 2007
[3] Analytic Functions of Several Complex Variables, Prentice-Hall, 1965
[4] On the versal deformation of a complex space with an isolated singularity, Math. Ann., Volume 196 (1972), pp. 23-29
[5] Microlocal analysis of prehomogeneous vector spaces, Invent. Math., Volume 62 (1980), pp. 117-179
[6] Singular Points of Plane Curves, London Math. Society, 2004
Cité par Sources :
☆ This research was partially supported by FEDER and FCT-Plurianual 2009.
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