[DOWNLOAD] "Period Mappings with Applications to Symplectic Complex Spaces" by Tim Kirschner " eBook PDF Kindle ePub Free
eBook details
- Title: Period Mappings with Applications to Symplectic Complex Spaces
- Author : Tim Kirschner
- Release Date : January 15, 2015
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 7115 KB
Description
Extending Griffiths’ classical theory of period mappings for compact KΓ€hler 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 FrΓΆlicher 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 hyperkΓ€hler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.