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Period Mappings with Applications to...
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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.
Description:
XVIII, 275 p.online resource. :
Contained By:
Springer Nature eBook
Subject:
Algebraic geometry. -
Online resource:
https://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. - 1st ed. 2015. - XVIII, 275 p.online resource. - Lecture Notes in Mathematics,21400075-8434 ;. - Lecture Notes in Mathematics,2144.
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.
ISBN: 9783319175218
Standard No.: 10.1007/978-3-319-17521-8doiSubjects--Topical Terms:
1255324
Algebraic geometry.
LC Class. No.: QA564-609
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 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.
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