This quantity serves as an creation to the Kodaira-Spencer conception of deformations of complicated constructions. in accordance with notes taken via James Morrow from lectures given via Kunihiko Kodaira at Stanford college in 1965-1966, the publication provides the unique evidence of the Kodaira embedding theorem, exhibiting that the limited type of Kähler manifolds known as Hodge manifolds is algebraic. integrated are the semicontinuity theorems and the neighborhood completeness theorem of Kuranishi. Readers are assumed to understand a few algebraic topology. entire references are given for the consequences which are used from elliptic partial differential equations. The booklet is acceptable for graduate scholars and researchers drawn to summary advanced manifolds.
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