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.
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978-0-8218-0769-9 (9780821807699)
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Schweitzer Klassifikation
On the second adjunction mapping and the very ampleness of the triadjoint bundle by M. C. Beltrametti and A. J. Sommese Stein small deformations of strictly pseudoconvex surfaces by F. A. Bogomolov and B. de Oliveira On the rationality of non-Gorenstein $\mathbb {Q}$-Fano $3$-folds with an integer Fano index by I. Cheltsov Nilpotent cones and sheaves on K3 surfaces by R. Donagi, L. Ein, and R. Lazarsfeld Minimal, canonical and log-canonical models of hypersurface singularities by S. Ishii Subadjunction of log canonical divisors for a subvariety of codimension $2$ by Y. Kawamata Relative De Rham complex for non-smooth morphisms by S. J. Kovacs A note on moderate abelian fibrations by K. Oguiso On extremal contractions from threefolds to surfaces: the case of one non-Gorenstein point by Y. G. Prokhorov Letters of a birationalist. I. A projectivity criterion by V. V. Shokurov.
