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  3. Lectures on Kähler Geometry
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      March 2007
      ISBN:
      9780511618666
      9780521868914
      9780521688970
      DOI:
      https://doi.org/10.1017/CBO9780511618666
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.44kg, 182 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.266kg, 182 Pages
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      London Mathematical Society Student Texts (69)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    London Mathematical Society Student Texts (69)
    Information

    Book description

    Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kähler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck techniques, Calabi–Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.

    Reviews

    "A concise and well-written modern introduction to the subject."
    Tatyana E. Foth, Mathematical Reviews

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