Elementary Pseudoconcavity and fields of CR meromorphic functions

Details Elementary Pseudoconcavity and fields of CR meromorphic functions Elementary Pseudoconcavity and fields of CR meromorphic functions

2007-10-26

arxiv.org/abs/0710.5031v1

Rend. Sem. Mat. Univ. Padova 113 (2005), 99-115

Mathematics

Complex Variables

Scientific paper

Let 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.

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