Boundedness of nonbirational extremal contractions

Authors
Citation
Yg. Prokhorov, Boundedness of nonbirational extremal contractions, INT J MATH, 11(3), 2000, pp. 393-411
Citations number
17
Categorie Soggetti
Mathematics
Journal title
INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN journal
0129167X → ACNP
Volume
11
Issue
3
Year of publication
2000
Pages
393 - 411
Database
ISI
SICI code
0129-167X(200005)11:3<393:BONEC>2.0.ZU;2-Q
Abstract
We consider K-X-negative extremal contractions f:x --> (Z,o), where X is an algebraic threefold with only epsilon-log terminal Q-factorial singulariti es and (Z, o) is a two (respectively, one)-dimensional germ. The main resul t is that K-X is 1, 2, 3,4 or 6-complementary or we have, so-called, except ional case and then the singularity (Z is an element of o) is bounded (resp ectively, the multiplicity of the central fiber f(-1)(o) is bounded).