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Period mappings with applications to symplectic complex spaces / Tim Kirschner



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Autore: Kirschner, Tim Visualizza persona
Titolo: Period mappings with applications to symplectic complex spaces / Tim Kirschner Visualizza cluster
Pubblicazione: Cham : Springer, [2015]
Descrizione fisica: xviii, 275 p. : ill. ; 24 cm
Disciplina: 516.35
Soggetto topico: Geometry, Algebraic
Numbers, Complex
Symplectic spaces
Classificazione: AMS 32G20
AMS 14F05
AMS 32C35
AMS 53D05
LC QA564.K52
Nota di bibliografia: Includes bibliographical references
Sommario/riassunto: Extending Griffiths classical theory of period mappings for compact Khler 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 Frlicher 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 hyperkhler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely
ISBN: 9783319175201
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 991002946999707536
Lo trovi qui: Univ. del Salento
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Serie: Lecture notes in mathematics, 0075-8434 ; 2140