1.

Record Nr.

UNISALENTO991002946939707536

Autore

Kirschner, Tim

Titolo

Period mappings with applications to symplectic complex spaces [e-book] / Tim Kirschner

Pubbl/distr/stampa

Cham : Springer, [2015]

ISBN

9783319175218

Descrizione fisica

1 online resource (xviii, 275 pages)

Collana

Lecture notes in mathematics, 1617-9692 ; 2140

Classificazione

AMS 32G20

AMS 14F05

AMS 32C35

AMS 53D05

LC QA564.K52

Altri autori (Enti)

Centro internazionale per la ricerca matematica <Trento, Italy>

Altri autori (Convegni)

C.I.M.E. Summer School <2013 ; Levico Terme, Italy>

Disciplina

516.35

Soggetti

Geometry, Algebraic

Numbers, Complex

Symplectic spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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