Defect and evaluations

Details Defect and evaluations Defect and evaluations

1996-04-16

arxiv.org/abs/math/9604202v1

Mathematics

Complex Variables

Scientific paper

Let $S$ be a generic submanifold of $C^N$ of real codimension m. In this work we continue the study, carried over by various authors, of the set of analytic discs attached to S. Let $M$ be the set of analytic discs attached to $S.$ Given $q \in S$ let $M_q$ be the set of discs $\phi$ in M such that $\phi_(1).$ B. Trepreau and other authors gave sufficient conditions for $M$ to be a manifold in a neighborhood of a given disc. We give conditions for $M_q$ to be a manifold. When this conditions are satisfied we look at the map on $M$ given by $\phi \rightarrow \phi(0),$ and we describe the image of its differential, (in particular we determine its dimension). We then do the same for the map $\phi \rightarrow \phi(-1)$ on $M_q.$ For example we find as a corollary that if S has only minimal points, then there exists an open dense subset $Omega$ in M such that the restriction of the map $\phi \rightarrow \phi(0)$ to $\Omega$ is an open map with value in $C^N.$

Affiliated with

Also associated with

No associations

Rating

Defect and evaluations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Defect and evaluations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Defect and evaluations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207979