On the tangential holomorphic vector fields vanishing at an infinite type point
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- by Kang-Tae Kim and Ninh Van Thu PDF
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Abstract:
Let $(M,p)$ be a $\mathcal C^\infty$ smooth non-Leviflat CR hypersurface germ in $\mathbb C^2$ where $p$ is of infinite type. The purpose of this article is to investigate the holomorphic vector fields tangent to $(M,p)$ vanishing at $p$.References
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Additional Information
- Kang-Tae Kim
- Affiliation: Department of Mathematics and Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea
- Email: kimkt@postech.ac.kr
- Ninh Van Thu
- Affiliation: Department of Mathematics and Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea – and – Department of Mathematics, Vietnam National University at Hanoi, 334 Nguyen Trai str., Hanoi, Vietnam
- MR Author ID: 853151
- Email: thunv@postech.ac.kr, thunv@vnu.edu.vn
- Received by editor(s): June 19, 2012
- Published electronically: September 4, 2014
- Additional Notes: The research of the authors was supported in part by an NRF grant 2011-0030044 (SRC-GAIA) of the Ministry of Education, The Republic of Korea.
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 867-885
- MSC (2010): Primary 32M05; Secondary 32H02, 32H50, 32T25
- DOI: https://doi.org/10.1090/S0002-9947-2014-05917-5
- MathSciNet review: 3280030