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Flips for 3-folds and 4-folds$
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Alessio Corti

Print publication date: 2007

Print ISBN-13: 9780198570615

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198570615.001.0001

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3-fold flips after Shokurov

3-fold flips after Shokurov

(p.18) 2 3-fold flips after Shokurov
Flips for 3-folds and 4-folds

Alessio Corti (Contributor Webpage)

Oxford University Press

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 functions, and Shokurov's asymptotic saturation property are developed systematically from first principles.

Keywords:   b-divisor, pbd-algebra, Shokurov algebra, restricted algebra, saturation, asymptotic saturation, finite generation conjecture

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