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Geometry and Physics: Volume IIA Festschrift in honour of Nigel Hitchin$
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Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada

Print publication date: 2018

Print ISBN-13: 9780198802020

Published to Oxford Scholarship Online: December 2018

DOI: 10.1093/oso/9780198802020.001.0001

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Threefold Extremal Contractions of Type (IIA)

Threefold Extremal Contractions of Type (IIA)

Part II

Chapter:
(p.623) 26 Threefold Extremal Contractions of Type (IIA)
Source:
Geometry and Physics: Volume II
Author(s):

Shigefumi Mori

Yuri Prokhorov

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198802020.003.0026

Let (X, C) be a germ of a threefold X with terminal singularities along an irreducible reduced complete curve C with a contraction f:(X,C)→(Z,o) such that C=f−1(o)red and −KX is f-ample. Assume that (X, C) contains a point of type (IIA). This chapter continues the study of such germs containing a point of type (IIA), started in our previous paper.

Keywords:   Mori programme, extremal contraction, terminal singularity

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