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.
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.
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@article{CRMATH_2009__347_23-24_1409_0, author = {Cabral, Jo\~ao and Neto, Orlando}, 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}, url = {http://www.numdam.org/articles/10.1016/j.crma.2009.10.026/} }
TY - JOUR AU - Cabral, João AU - Neto, Orlando TI - Microlocal versal deformations of the plane curves $ {y}^{k}={x}^{n}$ JO - Comptes Rendus. Mathématique PY - 2009 SP - 1409 EP - 1414 VL - 347 IS - 23-24 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.10.026/ DO - 10.1016/j.crma.2009.10.026 LA - en ID - CRMATH_2009__347_23-24_1409_0 ER -
%0 Journal Article %A Cabral, João %A Neto, Orlando %T Microlocal versal deformations of the plane curves $ {y}^{k}={x}^{n}$ %J Comptes Rendus. Mathématique %D 2009 %P 1409-1414 %V 347 %N 23-24 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.10.026/ %R 10.1016/j.crma.2009.10.026 %G en %F CRMATH_2009__347_23-24_1409_0
Cabral, João; Neto, Orlando. 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. http://www.numdam.org/articles/10.1016/j.crma.2009.10.026/
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☆ This research was partially supported by FEDER and FCT-Plurianual 2009.