Period Mappings with Applications to Symplectic Complex Spaces: 2140 - Brossura

Kirschner, Tim

Brossura

ISBN 10: 3319175203 ISBN 13: 9783319175201

Casa editrice: Springer, 2015

Riassunto

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.

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Dalla quarta di copertina

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.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3319175203
• ISBN 13: 9783319175201
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 296
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania