Period mappings with applications to symplectic complex spaces [electronic resource] / Tim Kirschner.
2015
QA564 .K52 2015eb
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Title
Period mappings with applications to symplectic complex spaces [electronic resource] / Tim Kirschner.
Author
Kirschner, Tim, author.
ISBN
9783319175218 electronic book
3319175211 electronic book
9783319175201
3319175203
3319175211 electronic book
9783319175201
3319175203
Published
Cham : Springer, [2015]
Language
English
Description
1 online resource (xviii, 275 pages) : illustrations
Call Number
QA564 .K52 2015eb
Dewey Decimal Classification
516.3/5
Summary
Extending Griffiths classical theory of period mappings for compact Khler 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 Frlicher 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 hyperkhler 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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Includes bibliographical references.
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Digital File Characteristics
text file PDF
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed Sep. 21, 2015)
Series
Lecture notes in mathematics (Springer-Verlag) ; 2140.
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