Описание:
Yuri PROKHOROV - Finite subgroups of the space Cremona group and Fano threefolds
The aim of this course is to introduce a techniques - based on the minimal model program - that can be used to classify finite subgroups of Cremona groups. I concentrate on the three-dimensional case.
3rd Swiss-French workshop on algebraic geometry, January 27-31, 2014, Enney (near Gruyères, Fribourg, Switzerland)
http://jones.math.unibas.ch/~blanc/enney2014.html
Lecture 1.
Introduction. G-MMP. Fano-Mori models. Examples.
Lecture 2.
Gorenstein Fano threefolds. Projective models. Non-Gorenstein case.
Lecture 3.
Special kinds of Fano threefolds: del Pezzo varieties.
Lecture 4.
Mori-Mukai classification.
Sarkisov links and Fano threefolds of rank 2.
Some invariants of conjugacy classes.
Lecture 5.
Prime Fano threefolds.
Iskovskikh and Mukai classification. Applications.