Period mappings with applications to symplectic complex spaces

書誌事項

Period mappings with applications to symplectic complex spaces

Tim Kirschner

(Lecture notes in mathematics, 2140)

Springer, c2015

  • : pbk

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注記

Includes bibliographical references

内容説明・目次

内容説明

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 Froelicher 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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詳細情報

  • NII書誌ID(NCID)
    BB19618076
  • ISBN
    • 9783319175201
  • LCCN
    2015948870
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xviii, 275 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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