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Period mappings with applications to...

Kirschner, Tim.

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Period mappings with applications to symplectic complex spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Period mappings with applications to symplectic complex spaces/ by Tim Kirschner.
作者:	Kirschner, Tim.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xviii, 275 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Geometry, Algebraic. -
電子資源:	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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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.
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650 0 $a Numbers, Complex. $3 540189
650 0 $a Symplectic spaces. $3 888761
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650 2 4 $a Algebraic Geometry. $3 893861
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