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Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry

Current Topics in Complex Algebraic Geometry

Herbert Clemens, University of Utah
Janos Kollár, University of Utah
Mathematical Sciences Research Institute
March 1996
Hardback
9780521562447
£111.00
GBP
Hardback
GBP
Paperback

    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

    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

    See more reviews

    Product details

    March 1996
    Hardback
    9780521562447
    172 pages
    242 × 161 × 16 mm
    0.412kg
    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.
      Contributors
    • János Kollár, Donu Arapura, Arnaud Beauville, Alessio Corti, Olivier Debarre, Ron Donagi, Lawrence Ein, Richard M. Hain, Shigeru Mukai

    • Editors
    • Herbert Clemens , University of Utah
    • Janos Kollár , University of Utah
    • Mathematical Sciences Research Institute