Period Mappings with Applications to Symplectic Complex Spaces

Period Mappings with Applications to Symplectic Complex Spaces

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Cod produs/ISBN: 9783319175201

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Editura: Springer

Limba: Engleza

Nr. pagini: 296

Coperta: Paperback

Dimensiuni: 15.5 x 1.7 x 23.5 cm

An aparitie: 2015

Extending Griffiths’ classical theory of period mappings for compact Kähler 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 Frölicher 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 hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.
Springer
An aparitie 2015
Autor Tim Kirschner
Dimensiuni 15.5 x 1.7 x 23.5 cm
Editura Springer
Format Paperback
ISBN 9783319175201
Limba Engleza
Nr pag 296

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