Abstract
AbstractWe survey some recents developments in the Minimal Model Program. After an elementary introduction to the program, we focus on its generalisations to the category of foliated varieties and the category of varieties defined over any algebraically closed field of positive characteristic.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
Reference61 articles.
1. Alexeev, V.: Boundedness and $$K^2$$ for log surfaces. Int. J. Math. 5, 779–810 (1994)
2. Alexeev, V., Mori, S.: Bounding Singular Surfaces of General Type. Algebra, Arithmetic and Geometry with Applications (West Lafayette, IN, 2000), pp. 143–174. Springer, Berlin (2004)
3. Aubin, T.: Nonlinear Analysis on Manifolds Monge-Ampère Equations, volume 252 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer, New York (1982)
4. Bernasconi, F.: Non-normal purely log terminal centres in characteristic $$p\geqslant 3$$. Eur. J. Math. 5(4), 1242–1251 (2019)
5. Birkar, C.: Existence of flips and minimal models for 3-folds in char $$p$$. Ann. Sci. Éc. Norm. Supér. (4) 49(1), 169–212 (2016)