By Morrow J., Kodaira K.

This quantity serves as an creation to the Kodaira-Spencer concept of deformations of complicated constructions. according to notes taken by way of James Morrow from lectures given through Kunihiko Kodaira at Stanford college in 1965-1966, the booklet supplies the unique facts of the Kodaira embedding theorem, displaying that the constrained classification of Kähler manifolds referred to as Hodge manifolds is algebraic. incorporated 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 e-book is appropriate for graduate scholars and researchers drawn to summary advanced manifolds.

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