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Look Inside Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry

£43.99

Part of Mathematical Sciences Research Institute Publications

János Kollár, Donu Arapura, Arnaud Beauville, Alessio Corti, Olivier Debarre, Ron Donagi, Lawrence Ein, Richard M. Hain, Shigeru Mukai
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  • Date Published: March 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107403840

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About the Authors
  • The 1992/3 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This 1996 volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. To put it succinctly, algebraic geometry has opened up to ideas and connections from other fields that have traditionally been far away. The editors of the volume, Herbert Clemens and Janos Kollar, chaired the organizing committee. Activities were centered around themes, one per month, under the guidance of experts in each area. There were also four short workshops, which attracted many participants and helped considerably in communicating the new directions in algebraic geometry to a large audience. This book gives a good idea of the intellectual content of the special year and of the workshops.

    • New series for CUP (previous volumes published by Springer)
    • Contributors were senior members of the research workshop
    • Strong area of CUP's list
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    Reviews & endorsements

    Review of the hardback: '… an overview of recent developments in the subject … While this is inevitably a book for the expert, the contributors have tried not to become too technical.' Mathematica

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    Product details

    • Date Published: March 2012
    • format: Paperback
    • isbn: 9781107403840
    • length: 172 pages
    • dimensions: 234 x 156 x 9 mm
    • weight: 0.25kg
    • availability: Available
  • Table of Contents

    Preface János Kollár
    1. Fundamental groups of smooth projective varieties Donu Arapura
    2. Vector bundles on curves and generalized theta functions: recent results and open problems Arnaud Beauville
    3. Recent results in higher dimensional birational geometry Alessio Corti
    4. The Schottky problem: an update Olivier Debarre
    5. Spectral covers Ron Donagi
    6. Adjoint linear systems Lawrence Ein
    7. Torelli groups and geometry of moduli spaces of curves Richard M. Hain
    8. Vector bundles and Brill–Noether theory Shigeru Mukai.

  • Editors

    Herbert Clemens, University of Utah

    Janos Kollár, University of Utah

    Contributors

    János Kollár, Donu Arapura, Arnaud Beauville, Alessio Corti, Olivier Debarre, Ron Donagi, Lawrence Ein, Richard M. Hain, Shigeru Mukai

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