Elementary Pseudoconcavity and fields of CR meromorphic functions

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dc.creatorHill, C. Denson
dc.creatorNacinovich, Mauro
dc.date2007-10-26
dc.date.accessioned2026-07-07T08:38:49Z
dc.date.available2026-07-07T08:38:49Z
dc.descriptionLet M be a smooth CR manifold of CR dimension n and CR codimension k, which is not compact, but has the local extension property E. We introduce the notion of "elementary pseudoconcavity" for M, which extends to CR manifolds the concept of a "pseudoconcave" complex manifold. This notion is then used to obtain generalizations, to the noncompact case, of the results of our previous paper about algebraic dependence, transcendence degree and related matters for the field K(M) of CR meromorphic functions on M.
dc.identifierhttps://arxiv.org/abs/0710.5031
dc.identifierhttp://arxiv.org/abs/0710.5031
dc.identifierRend. Sem. Mat. Univ. Padova 113 (2005), 99-115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140868
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subjectAnalysis of PDEs
dc.titleElementary Pseudoconcavity and fields of CR meromorphic functions
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