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- W2952031607 abstract "Let $M$ be a generic CR submanifold in $C^{m+n}$, $m= CRdim M geq 1$,$n=codim M geq 1$, $d=dim M = 2m+n$. A CR meromorphic mapping (in the sense of Harvey-Lawson) is a triple $(f,{cal D}_f, [Gamma_f])$, where: 1. $f: {cal D}_f to Y$ is a ${cal C}^1$-smooth mapping defined over a dense open subset ${cal D}_f$ of $M$ with values in a projective manifold $Y$; 2. The closure $Gamma_f$ of its graph in $C^{m+n} times Y$ defines a oriented scarred ${cal C}^1$-smooth CR manifold of CR dimension $m$ (i.e. CR outside a closed thin set) and 3. Such that $d[Gamma_f]=0$ in the sense of currents. We prove in this paper that $(f,{cal D}_f, [Gamma_f])$ extends meromorphically to a wedge attached to $M$ if $M$ is everywhere minimal and ${cal C}^{omega}$ (real analytic) or if $M$ is a ${cal C}^{2,alpha}$ globally minimal hypersurface." @default.
- W2952031607 created "2019-06-27" @default.
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- W2952031607 date "1998-01-01" @default.
- W2952031607 modified "2023-10-15" @default.
- W2952031607 title "On the local meromorphic extension of CR meromorphic mappings" @default.
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