Kirschner, Tim
Period mappings with applications to symplectic complex spaces [Documento eletrónico] / Tim Kirschner. - Cham : Springer International Publishing , 2015 . - XVIII, 275 p.. - (Lecture Notes in Mathematics) . 2140 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-319-17521-8
Geometria algébrica
Funções de variáveis complexas
Álgebra homológica
LCC QA564
Period mappings with applications to symplectic complex spaces [Documento eletrónico] / Tim Kirschner. - Cham : Springer International Publishing , 2015 . - XVIII, 275 p.. - (Lecture Notes in Mathematics) . 2140 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-319-17521-8
Geometria algébrica
Funções de variáveis complexas
Álgebra homológica
LCC QA564
