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Period mappings with applications to...

Kirschner, Tim.

Period mappings with applications to symplectic complex spaces[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.35
書名/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.
標題:	Numbers, Complex.
標題:	Symplectic spaces.
標題:	Mathematics.
標題:	Algebraic Geometry.
標題:	Several Complex Variables and Analytic Spaces.
標題:	Category Theory, Homological Algebra.
ISBN:	9783319175218
ISBN:	9783319175201
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-17521-8

Period mappings with applications to symplectic complex spaces[electronic resource] /
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 ;2035..

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:

433494
Geometry, Algebraic.

LC Class. No.: QA564 / .K52 2015

Dewey Class. No.: 516.35

Period mappings with applications to symplectic complex spaces[electronic resource] /
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245 1 0 $a Period mappings with applications to symplectic complex spaces $h [electronic resource] / $c by Tim Kirschner.
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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 433494
650 0 $a Numbers, Complex. $3 468451
650 0 $a Symplectic spaces. $3 635783
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Algebraic Geometry. $3 464922
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 467498
650 2 4 $a Category Theory, Homological Algebra. $3 464923
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 464096
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17521-8
950 $a Mathematics and Statistics (Springer-11649)

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