Period Mappings with Applications to Symplectic Complex Spaces PDF
by Tim Kirschner
Part of the Lecture Notes in Mathematics series
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Extending Griffiths' classical theory of period mappings for compact Kahler 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 Frolicher 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 hyperkahler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.
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- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:15/09/2015
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- ISBN:9783319175218
Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:15/09/2015
- Category:
- ISBN:9783319175218
