Holomorphic maps of real submanifolds in complex spaces of different dimensions
Abstract
We define a new local invariant (called degeneracy) associated to a triple (M,M',H), where M and M' are real submanifolds of CN and CN', 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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