The systematic study of neighborhoods of analytic varieties was . In this chapter we review some of the basic notions of complex analysis. We. 𝗣𝗗𝗙 | We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact. PDF | On Jan 1, , F. Reese Harvey and others published On Boundaries of Complex Analytic Varieties, II. Chapter I. Analytic functions of several complex variables and analytic varieties. 1 . Analytic functions of one complex variable. Let D be an open set in the. Keywords: holomorphic function, complex manifold, analytic variety, vector bundle The main objective of Complex Analytic Geometry is to study the structure of. ON COMPACT COMPLEX ANALYTIC VARIETIES.*. By WEi-LIANG CHOW. 1. Introduction. Let S7, be the projective space of n dimensions over the field k of all . Boundaries of complex analytic varieties. F. Reese Harvey and H. Blaine Lawson , Jr. PDF File ( KB). Article info and citation; First page; References. G. Fischer, “Complex Analytic Geometry”, Lecture Notes in Mathematics, Vol. [ Wh] H. Whitney, “Complex analytic varieties”, Addison-Wesley, Reading, Mass. Complex analytic varieties by Hassler Whitney; 2 editions; First published in ; Subjects: Analytic functions, Analytic spaces.