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Period mappings with applications to...

Kirschner, Tim.

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Period mappings with applications to symplectic complex spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Period mappings with applications to symplectic complex spaces/ by Tim Kirschner.
Author:	Kirschner, Tim.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xviii, 275 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometry, Algebraic. -
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 :Springer International Publishing :2015. - xviii, 275 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21400075-8434 ;. - Lecture notes in mathematics ;2046..

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:

532048
Geometry, Algebraic.

LC Class. No.: QA564 / .K52 2015

Dewey Class. No.: 516.35

Period mappings with applications to symplectic complex spaces
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100 1 $a Kirschner, Tim. $3 2163051
245 1 0 $a Period mappings with applications to symplectic complex spaces $h [electronic resource] / $c by Tim Kirschner.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xviii, 275 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2140
520 $a 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.
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Numbers, Complex. $3 540189
650 0 $a Symplectic spaces. $3 888761
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Category Theory, Homological Algebra. $3 899944
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2046. $3 1534285
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17521-8
950 $a Mathematics and Statistics (Springer-11649)