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Classification of Algebraic Varieties
Editors: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)