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Zbl 1129.32009
Akahori, Takao; Garfield, Peter M.
Hamiltonian flow over deformations of ordinary double points. (English)
[J] J. Math. Anal. Appl. 333, No. 1, 24-41 (2007). ISSN 0022-247X

Consider the analytic space $V = \{\ (z^1, \dots, z^n): \sum_{i = 1}^n z^i = 0\}$, which has a unique isolated singularity at the origin, and the compact CR submanifold $$M = \biggl\{\ (z^1, \dots, z^n):\sum_{i = 1}^n \vert z^i\vert ^2 = 1,\ \sum_{i = 1}^n z^i = 0 \biggr\}\subset V.$$ Using the theory of deformations of CR structures, developed by the first author and K. Miyajima, the authors prove that any deformation of $M$ is unobstructed. The result is obtained analyzing a specific deformation of $M$ determined by a special Hamiltonian flow in the ambient Euclidean space.
[Andrea Spiro (Camerino)]

MSC 2000:: *32G07 Deformations of special structures
32V05 CR structures etc.

Keywords: Hamiltonian flow; CR structure; ordinary double point; isolated singularity; deformation theory

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