Period mappings with applications to symplectic complex spaces / Tim Kirschner

• Autore: Kirschner, Tim
• 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
• Serie: Lecture notes in mathematics, 0075-8434 ; 2140