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Flips for 3-folds and 4-folds

Alessio Corti (ed.)

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198570615
eISBN:
9780191717703
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570615.001.0001
Subject:
Mathematics, Geometry / Topology

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 ... More


3-fold flips after Shokurov

Alessio Corti

in Flips for 3-folds and 4-folds

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198570615
eISBN:
9780191717703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570615.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter gives a concise, complete, and pedagogical proof of existence of 3-fold flips according to Shokurov. In particular, the foundation of the theory of b-divisors, algebras of rational ... More


Confined divisors

James McKernan

in Flips for 3-folds and 4-folds

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198570615
eISBN:
9780191717703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570615.003.0007
Subject:
Mathematics, Geometry / Topology

Shokurov proposed the CCS conjecture as an intermediate step leading to his finite generation conjecture implying the existence of pl flips in all dimensions. After the work of Hacon and McKernan, ... More


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