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Flips for 3-folds and 4-folds - Oxford Scholarship Online
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Flips for 3-folds and 4-folds

Alessio Corti


The minimal model program in algebraic geometry is a conjectural sequence of algebraic surgery operations that simplifies any algebraic variety to a point where it can be decomposed into pieces with negative, zero, and positive curvature, in a similar vein as the geometrization program in topology decomposes a three-manifold into pieces with a standard geometry. The last few years have seen dramatic advances in the minimal model program for higher dimensional algebraic varieties, with the proof of the existence of minimal models under appropriate conditions, and the prospect within a few years ... More

Keywords: Mori theory, Mori program, minimal models, minimal model program, flip, n-dimensional flips, Shokurov, finite generation

Bibliographic Information

Print publication date: 2007 Print ISBN-13: 9780198570615
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198570615.001.0001


Affiliations are at time of print publication.

Alessio Corti, editor
Department of Mathematics, Imperial College, London
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