Download 3-Fold log models by Shokurov V. V. PDF

By Shokurov V. V.

Show description

Read Online or Download 3-Fold log models PDF

Similar children books

School-Parent Collaborations in Indigenous Communities: Providing Services for Children with Disabilities

Poverty. loss of social aid. constrained entry to schooling. excessive chance for illnesses. Indigenous groups face an inordinate variety of hardships. but if young children have specified wishes, those difficulties multiply exponentially, making latest problems significantly worse. School-Parent Collaborations in Indigenous groups: offering companies for kids with Disabilities starts off with an in-depth review of indigenous adventure and psychology, and situates disabilities in the contexts of indigenous groups and schooling providers.

Additional resources for 3-Fold log models

Sample text

5. Everything in this section should work in any dimension if the LMMP holds. Moreover, the LMMP is sufficient for Q-boundaries, except for the termination. REFERENCES 1. V. Alexeev, "Two two-dimensional terminations," Duke Math. , 69, No. 3, 527-545 (1993). 2. A. Borisov, Minimal discrepancies of toric singularities, Algebraic Geometry E-prints. 3: J. W. S. Cassels, An Introduction to Diophantine Approzimatior~, Cambridge University Press (1957). 4. H. Clemens, J. Kolls and S. Mort, "Higher dimensional complex geometry," Astdrisque, 166, Soc.

McKernan, "Log abundance theorem for threefolds," Duke Math. , 75, No. 1, 99-119 (1994). 13. J. Kolle~', "The Cone theorem: Note to Kawamata's 'The cone of curves of algebraic varieties'," Ann. , 120, 1-5 (1984). J. 14. Kolls and S. Mort, Classification of Three-Dimensional Flips, preprint. 15. J. , "Flips and abundance for algebraic threefolds," A Summer Seminar at the University of Utah, Salt Lake City, 1991, Asterisque, 211 (1992). 16. T. Luo, On the Divisorial Eztremal Contractions of Threefolds: Divisor to a Point, preprint.

Stable for a small variation of B. 2. From this point of view, all basic morphisms of the LMMP are stable - - Fano fiberings, flips, and divisorial contractions with respect to B - - in the category of models with strictly log terminal singularities. This means that if we have such a morphism X -+ Y/S, then K x + B x is strictly log terminal and it is negative with respect to K x + B x , and this also holds for any small variation of the boundary B. According to the termination, even the construction of a log minimal model is stable.

Download PDF sample

Rated 4.84 of 5 – based on 17 votes