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Product Code:  CONM/207 
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Book DetailsContemporary MathematicsVolume: 207; 1997; 152 ppMSC: Primary 14; 32;
This book presents proceedings from the JapanU.S. Mathematics Institute (JAMI) Conference on Birational Algebraic Geometry in Memory of WeiLiang 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.ReadershipGraduate 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 nonGorenstein ${\bf Q}$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 logcanonical 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 nonsmooth 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 nonGorenstein point [ MR 1462929 ]

V. V. Shokurov  Letters of a birationalist. I. A projectivity criterion [ MR 1462930 ]


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This book presents proceedings from the JapanU.S. Mathematics Institute (JAMI) Conference on Birational Algebraic Geometry in Memory of WeiLiang 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.
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 nonGorenstein ${\bf Q}$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 logcanonical 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 nonsmooth 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 nonGorenstein point [ MR 1462929 ]

V. V. Shokurov  Letters of a birationalist. I. A projectivity criterion [ MR 1462930 ]