Holomorphic maps of real submanifolds in complex spaces of different dimensions

Details Holomorphic maps of real submanifolds in complex spaces of different dimensions Holomorphic maps of real submanifolds in complex spaces of different dimensions

1999-11-10

arxiv.org/abs/math/9911057v1

Pacific J. Math. 201 (2001), no. 2, 357-387

Mathematics

Complex Variables

AMSTeX, 25 pages

Scientific paper

We define a new local invariant (called degeneracy) associated to a triple
(M,M',H), where M and M' are real submanifolds of C^N and C^N', respectively,
and H: M->M' is either a holomorphic map, a formal holomorphic map, or a smooth
CR-map. We use this invariant to find sufficient conditions under which finite
jet dependence, convergence and algebraicity results hold.

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