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Period mappings with applications to symplectic complex spaces
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Period mappings with applications to symplectic complex spaces/ by Tim Kirschner.
Author:
Kirschner, Tim.
Published:
Cham :Imprint: Springer, : 2015.,
Description:
xviii, 275 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Category Theory, Homological Algebra. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-17521-8
ISBN:
9783319175218
Period mappings with applications to symplectic complex spaces
Kirschner, Tim.
Period mappings with applications to symplectic complex spaces
[electronic resource] /by Tim Kirschner. - Cham :Imprint: Springer,2015. - xviii, 275 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21400075-8434 ;. - Lecture notes in mathematics ;1943..
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.
ISBN: 9783319175218
Standard No.: 10.1007/978-3-319-17521-8doiSubjects--Topical Terms:
678397
Category Theory, Homological Algebra.
LC Class. No.: QA564 / .K52 2015
Dewey Class. No.: 516.35
Period mappings with applications to symplectic complex spaces
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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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Category Theory, Homological Algebra.
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Symplectic spaces.
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Mathematics and Statistics (Springer-11649)
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