Holomorphic maps of real submanifolds in complex spaces of different dimensions

Bernhard Lamel

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Holomorphic maps of real submanifolds in complex spaces of different dimensions

Bernhard Lamel

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Abstract

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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Bernhard Lamel. 1999-11-10. Holomorphic maps of real submanifolds in complex spaces of different dimensions. https://arxiv.org/abs/math/9911057

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