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- W2950589321 abstract "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 $C^N.$" @default.
- W2950589321 created "2019-06-27" @default.
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- W2950589321 date "1996-04-16" @default.
- W2950589321 modified "2023-09-27" @default.
- W2950589321 title "Defect and evaluations" @default.
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