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Birational Algebraic Geometry
 
Edited by: Yujiro Kawamata University of Tokyo, Tokyo, Japan
Vyacheslav V. Shokurov Johns Hopkins University, Baltimore, MD
Birational Algebraic Geometry
eBook ISBN:  978-0-8218-7798-2
Product Code:  CONM/207.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Birational Algebraic Geometry
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Birational Algebraic Geometry
Edited by: Yujiro Kawamata University of Tokyo, Tokyo, Japan
Vyacheslav V. Shokurov Johns Hopkins University, Baltimore, MD
eBook ISBN:  978-0-8218-7798-2
Product Code:  CONM/207.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2071997; 152 pp
    MSC: Primary 14; 32

    This book presents proceedings from the Japan-U.S. Mathematics Institute (JAMI) Conference on Birational Algebraic Geometry in Memory of Wei-Liang Chow, held at the Johns Hopkins University in Baltimore in April 1996.

    These proceedings bring to light the many directions in which birational algebraic geometry is headed. Featured are problems on special models, such as Fanos and their fibrations, adjunctions and subadjunction formuli, projectivity and projective embeddings, and more.

    Some papers reflect the very frontiers of this rapidly developing area of mathematics. Therefore, in these cases, only directions are given without complete explanations or proofs.

    Readership

    Graduate students, research mathematicians, and physicists interested in algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Mauro C. Beltrametti and Andrew J. Sommese — On the second adjunction mapping and the very ampleness of the triadjoint bundle [ MR 1462921 ]
    • Fedor A. Bogomolov and Bruno de Oliveira — Stein small deformations of strictly pseudoconvex surfaces [ MR 1462922 ]
    • Ivan Cheltsov — On the rationality of non-Gorenstein ${\bf Q}$-Fano $3$-folds with an integer Fano index [ MR 1462923 ]
    • Ron Donagi, Lawrence Ein and Robert Lazarsfeld — Nilpotent cones and sheaves on $K3$ surfaces [ MR 1462924 ]
    • Shihoko Ishii — Minimal, canonical and log-canonical models of hypersurface singularities [ MR 1462925 ]
    • Yujiro Kawamata — Subadjunction of log canonical divisors for a subvariety of codimension $2$ [ MR 1462926 ]
    • Sándor J. Kovács — Relative de Rham complex for non-smooth morphisms [ MR 1462927 ]
    • Keiji Oguiso — A note on moderate abelian fibrations [ MR 1462928 ]
    • Yuri G. Prokhorov — On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point [ MR 1462929 ]
    • V. V. Shokurov — Letters of a bi-rationalist. I. A projectivity criterion [ MR 1462930 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2071997; 152 pp
MSC: Primary 14; 32

This book presents proceedings from the Japan-U.S. Mathematics Institute (JAMI) Conference on Birational Algebraic Geometry in Memory of Wei-Liang Chow, held at the Johns Hopkins University in Baltimore in April 1996.

These proceedings bring to light the many directions in which birational algebraic geometry is headed. Featured are problems on special models, such as Fanos and their fibrations, adjunctions and subadjunction formuli, projectivity and projective embeddings, and more.

Some papers reflect the very frontiers of this rapidly developing area of mathematics. Therefore, in these cases, only directions are given without complete explanations or proofs.

Readership

Graduate students, research mathematicians, and physicists interested in algebraic geometry.

  • Articles
  • Mauro C. Beltrametti and Andrew J. Sommese — On the second adjunction mapping and the very ampleness of the triadjoint bundle [ MR 1462921 ]
  • Fedor A. Bogomolov and Bruno de Oliveira — Stein small deformations of strictly pseudoconvex surfaces [ MR 1462922 ]
  • Ivan Cheltsov — On the rationality of non-Gorenstein ${\bf Q}$-Fano $3$-folds with an integer Fano index [ MR 1462923 ]
  • Ron Donagi, Lawrence Ein and Robert Lazarsfeld — Nilpotent cones and sheaves on $K3$ surfaces [ MR 1462924 ]
  • Shihoko Ishii — Minimal, canonical and log-canonical models of hypersurface singularities [ MR 1462925 ]
  • Yujiro Kawamata — Subadjunction of log canonical divisors for a subvariety of codimension $2$ [ MR 1462926 ]
  • Sándor J. Kovács — Relative de Rham complex for non-smooth morphisms [ MR 1462927 ]
  • Keiji Oguiso — A note on moderate abelian fibrations [ MR 1462928 ]
  • Yuri G. Prokhorov — On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point [ MR 1462929 ]
  • V. V. Shokurov — Letters of a bi-rationalist. I. A projectivity criterion [ MR 1462930 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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