Period mappings with applications to symplectic complex spaces
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Bibliographic Information
Period mappings with applications to symplectic complex spaces
（Lecture notes in mathematics, 2140）
Springer, c2015
- : pbk
Available at / 43 libraries
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Yukawa Institute for Theoretical Physics, Kyoto University基物研
: pbkH||LEC||MA||2140200035993932
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkL/N||LNM||2140200033872451
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Includes bibliographical references
Description and Table of Contents
Description
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 Froelicher 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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