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
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