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Gap-Sheaves and Extension of Coherent Analytic Subsheaves


Gap-Sheaves and Extension of Coherent Analytic Subsheaves

Gap-Sheaves and Extension of Coherent Analytic Subsheaves

Yum-Tong Siu, Günther Trautmann, "Gap-Sheaves and Extension of Coherent Analytic Subsheaves"
1971 | pages: 177 | ISBN: 3540052941, 0387052941 | PDF | 3,4 mb

The goal of these lecture notes is to provide an introduction to the theory of gap-sheaves and coherent subsheaf extension, which has been developed in the past few years by ¥. Thimm, the authors, and others. The reader is assumed to be somewhat familiar with general sheaf theory and the function theory of several complex variables, as can be found for example in Godement's "Topologie algebrique et theorie des faisceaux" and Gunning-Rossi's "Analytic functions of several complex variables". Most of the required background material in sheaf theory and function theory is collected in §0. Some knowledge of elementary module theory and the theory of topological vector spaces is also assumed. Complete reference is given for results quoted but not proved in these lecture notes.
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