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Preimages of CR submanifolds with generic holomorphic mapsKolarič, DejanWe investigate the notion of CR transversality of a generic holomorphic map ▫$f:{\mathbb{C}}^n \to {\mathbb{C}}^m$▫ to a smooth CR submanifold ▫$M$▫ of ▫${\mathbb C}^m$▫. We construct a ... stratification of the set of non-CR transversal points in the preimage ▫$M' = f^{-1}(M)$▫ by smooth submanifolds, consisting of points where the CR dimension of ▫$M'$▫ is constant. We show the existence of a Whitney stratification for sets which are locally diffeomorphic to the product of an open set and an analytic set.Source: Journal d'analyse mathématique = Ktab 'et le-analîzah matematît. - ISSN 0021-7670 (Vol. 107, 2009, str. 239-250)Type of material - article, component partPublish date - 2009Language - englishCOBISS.SI-ID - 15194457
Author
Kolarič, Dejan
Topics
matematika |
kompleksna analiza |
holomorfne preslikave |
mathematics |
complex analysis |
holomorphic maps
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source: Journal d'analyse mathématique = Ktab 'et le-analîzah matematît. - ISSN 0021-7670 (Vol. 107, 2009, str. 239-250)
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Kolarič, Dejan | 23466 |
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