@article{MaP, author = {Nguyen Kim Son and Chu Van Tiep}, title = { A Note on Infinite Type Germs of a Real Hypersurface in}, journal = {VNU Journal of Science: Mathematics - Physics}, volume = {35}, number = {2}, year = {2019}, keywords = {}, abstract = { Abstract: The purpose of this article is to show that there exists a smooth real hypersurface germ of D'Angelo infinite type in such that it does not admit any (singular) holomorphic curve that has infinite order contact with at . 2010 Mathematics Subject Classification. Primary 32T25; Secondary 32C25. Key words and phrases: Holomorphic vector field, automorphism group, real hypersurface, infinite type point. References[1] J. P. D'Angelo, Real hypersurfaces, orders of contact, and applications, Ann. of Math. 115 (1982) 615-637.[2] D. Catlin, Necessary conditions for subellipticity of the -Neumann problem, Ann. of Math. 117 (1) (1983) 147-171.[3] D. Catlin, Boundary invariants of pseudoconvex domains, Ann. of Math. 120 (3) (1984) 529-586.[4] D. Catlin, Subelliptic estimates for the -Neumann problem on pseudoconvex domains, Ann. of Math. 126 (1) (1987) 131-191.[5] J.P. D'Angelo, Several complex variables and the geometry of real hypersurfaces, CRC Press, Boca Raton, 1993. [6] L.Lempert, On the boundary regularity of biholomorphic mappings, Contributions to several complex variables, Aspects Math. E9 (1986) 193-215.[7] J.E. Fornaess, L. Lee, Y. Zhang, Formal complex curves in real smooth hypersurfaces, Illinois J. Math. 58 (1) (2014) 1-10.[8] J.E. Fornaess, B. Stensones, Infinite type germs of real analytic pseudoconvex domains in , Complex Var. Elliptic Equ. 57 (6) (2012) 705-717. [9] K.T. Kim, V.T. Ninh, On the tangential holomorphic vector fields vanishing at an infinite type point, Trans. Amer. Math. Soc. 367(2) (2015) 867-885}, issn = {2588-1124}, doi = {10.25073/2588-1124/vnumap.4345}, url = {https://js.vnu.edu.vn/MaP/article/view/4345} }