Abstract In this chapter we shall study, first locally and then globally, the complexification of a real analytic space (variety). The main results for the local models, which will be exposed in the first two paragraphs, are due to H. Cartan [2]. The existence of a complexification for a real analytic manifold was proved by F. Bruhat and H. Whitney [1], H.B. Shutrick [9], A. Haefliger [5] and, in the compact case, by C.B. Morrey [8]. The extension to real analytic spaces, which had been announced by H. Hironaka [6], was given by A. Tognoli [10].


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    Title :

    Complexification


    Contributors:


    Publication date :

    1986-01-01


    Size :

    20 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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