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  3. New Trends in Algebraic Geometry
    • Edited by K. Hulek, Universität Hannover, Germany, M. Reid, University of Warwick, C. Peters, Université de Grenoble, F. Catanese, Georg-August-Universität, Göttingen, Germany
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  • Publisher:
    Cambridge University Press
    Publication date:
    04 August 2010
    13 May 1999
    ISBN:
    9780511721540
    9780521646598
    DOI:
    https://doi.org/10.1017/CBO9780511721540
    Dimensions:
    Weight & Pages:
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.665kg, 496 Pages
    • Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (264)
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (264)
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    Book description

    This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.

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