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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/31975

Title: Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces.
Author: ZAITSEV, DMITRI
Author's Homepage: http://people.tcd.ie/zaitsevd
Keywords: Pure & Applied Mathematics
Issue Date: 1999
Publisher: Acta Mathematica
Citation: Zaitsev, Dmitri 'Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces' in Acta Mathematica, 183, (2), 1999, pp 273 - 305
Series/Report no.: Acta Mathematica
183
2
Abstract: We prove that a germ of a holomorphic map f between Cn and Cn ′ sending one real-algebraic submanifold M  Cn into another M′  Cn ′ is algebraic provided M′ contains no complex-analytic discs and M is generic and minimal. We also propose an algorithm for finding complex-analytic discs in a real submanifold.
Description: PUBLISHED
URI: http://hdl.handle.net/2262/31975
Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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