dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Meersseman, Laurent |
dc.date.accessioned |
2013-01-31T11:03:58Z |
dc.date.available |
2013-01-31T11:03:58Z |
dc.date.created |
2012-10-01 |
dc.date.issued |
2012-10-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/206095 |
dc.format.extent |
43 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1121 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Varietats complexes |
dc.subject.other |
Foliacions (Matemàtica) |
dc.subject.other |
Espais modulars |
dc.title |
Kuranishi type Moduli Spaces for proper CR submersions fibering over the circle |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.embargo.terms |
cap |
dc.description.abstract |
Kuranishi's fundamental result (1962) associates to
any compact complex manifold X&sub&0&/sub& a finite-dimensional analytic
space which has to be thought of as a local moduli space of complex
structures close to X&sub&0&/sub&. In this paper, we give an analogous
statement for Levi-flat CR manifolds fibering properly over the
circle by describing explicitely an infinite-dimensional Kuranishi
type local moduli space of Levi-flat CR structures. We interpret
this result in terms of Kodaira-Spencer deformation theory making
clear the likenesses as well as the differences with the classical
case. The article ends with applications and examples. |