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Contact geometry and CR-structures on spheres

100%

Bland J., Duchamp T.

Banach Center Publications

1995

tom 31

nr 1

99-113

A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into $ℂ^{n+1}$. For n=1, the cohomological obstruction to embeddability is identified.

On the versal discriminant of $J_{k,0}$ singularities

100%

Jaworski P.

Annales Polonici Mathematici

1996

tom 63

nr 1

89-99

It is well known that the versal deformations of nonsimple singularities depend on moduli. The first step in deeper understanding of this phenomenon is to determine the versal discriminant, which roughly speaking is an obstacle to analytic triviality of an unfolding or deformation along the moduli. The versal discriminant of the Pham singularity ($J_{3,0}$ in Arnold's classification) was thoroughly investigated by J. Damon and A. Galligo [2], [3], [4]. The goal of this paper is to continue their work and to describe the versal discriminant of a general $J_{k,0}$ singularity.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

1 Bland J.

1 Duchamp T.

1 Jaworski P.

1 1996

1 1995

Wyniki wyszukiwania

Contact geometry and CR-structures on spheres

On the versal discriminant of $J_{k,0}$ singularities