Higher dimensional birational geometry
著者
書誌事項
Higher dimensional birational geometry
(Advanced studies in pure mathematics, 35)
Mathematical Society of Japan, c2002
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注記
Includes bibliographical references
"The present volume consists of four research articles contributed by participants of the international conference Higher Dimensional Algebraic Varieties, 1997, at the Research Institute of Mathematical Sciences (RIMS), Kyoto University during June 2-6 and 9-13, 1997." -Pref.
内容説明・目次
内容説明
This volume contains four papers written by participants of the international conference on Higher Dimensional Algebraic Varieties held at the Research Institute of Mathematical Sciences (RIMS) at Kyoto University (Japan). Rather than an ordinary proceedings of the conference, the editors have compiled a selection of independent, full expositions on topics of fundamental importance in algebraic geometry: moduli spaces of abelian surfaces, rational curves on algebraic varieties, 3-dimensional flips, and the theory of elliptic fibrations. The authors - including a Fields medalist and the founder of fundamental results in algebraic geometry - discuss the topics fully, giving complete proofs of new results, technical preparations, and an historical overview. The book is suitable for graduate students and research mathematicians interested in algebraic geometry.
目次
Characterizations of projective space and applications to complex symplectic manifolds by K. Cho, Y. Miyaoka, and N. I. Shepherd-Barron The geometry of Siegel modular varieties by K. Hulek and G. K. Sankaran On semistable extremal neighborhoods by S. Mori Local structure of an elliptic fibration by N. Nakayama.
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