Period Mappings with Applications to Symplectic Complex Spaces (Paperback, 1st ed. 2015)

Extending Griffiths' classical theory of period mappings for compact Kahler manifolds, this book develops and applies a theory of period mappings of "Hodge-de Rham type" for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Froelicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkahler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2140
Release date:	September 2015
First published:	2015
Authors:	Tim Kirschner
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Paperback
Pages:	275
Edition:	1st ed. 2015
ISBN-13:	978-3-319-17520-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-319-17520-3
Barcode:	9783319175201

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