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Classification of Algebraic Varieties
EMS Series of Congress Reports

Classification of Algebraic Varieties

Carel Faber (Royal Institute of Technology, Stockholm, Sweden)
Gerard van der Geer (University of Amsterdam, The Netherlands)
Eduard Looijenga (University of Utrecht, The Netherlands)

ISBN print 978-3-03719-007-4, ISBN online 978-3-03719-507-9
DOI 10.4171/007
December 2010, 346 pages, hardcover, 17 x 24 cm.
78.00 Euro

Fascinating and surprising developments are taking place in the classification of algebraic varieties. Work of Hacon and McKernan and many others is causing a wave of breakthroughs in the Minimal Model Program: we now know that for a smooth projective variety the canonical ring is finitely generated. These new results and methods are reshaping the field.

Inspired by this exciting progress, the editors organized a meeting at Schiermonnikoog and invited leading experts to write papers about the recent developments. The result is the present volume, a lively testimony of the sudden advances that originate from these new ideas.

This volume will be of interest to a wide range of pure mathematicians, but will appeal especially to algebraic and analytic geometers.

Keywords: Classification of algebraic varieties, minimal model program, birational geometry

Further Information

Review in MR 2742569 (2011i:14001)

Review in Zentralblatt MATH 1203.14003