Open Access
Summer 2011 Threefold extremal contractions of type (IA)
Shigefumi Mori, Yuri Prokhorov
Kyoto J. Math. 51(2): 393-438 (Summer 2011). DOI: 10.1215/21562261-1214393


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=f1(o)red and KX is ample. Assume that a general member F|KX| meets C only at one point P, and furthermore assume that (F,P) is Du Val of type A if index (X,P)=4. We classify all such germs in terms of a general member H|OX| containing C.


Download Citation

Shigefumi Mori. Yuri Prokhorov. "Threefold extremal contractions of type (IA)." Kyoto J. Math. 51 (2) 393 - 438, Summer 2011.


Published: Summer 2011
First available in Project Euclid: 22 April 2011

zbMATH: 1230.14017
MathSciNet: MR2793273
Digital Object Identifier: 10.1215/21562261-1214393

Primary: 14E , 14E30 , 14J30

Rights: Copyright © 2011 Kyoto University

Vol.51 • No. 2 • Summer 2011
Back to Top