Towards the second main theorem on complements

By Yuri Prokhorov, V. Shokurov. 2009

198 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c03f88eda9c1eed45cdc160827192f4818da7294

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. C. Birkar
2. Constantin Shramov
3. Christopher D. Hacon

In Geometry and Topology

1. C. Birkar
2. Yuri Prokhorov
3. Constantin Shramov
4. Y. Odaka
5. Christopher D. Hacon
6. H. Blum
7. O. Fujino
8. Chenyang Xu

Citations in the corpus

• Jordan property for Cremona groups (2012, background): “(see e.g., [27, Lemma-Definition 2.6]) A (normal irreducible) variety X is called a variety of Fano type if there exists an effective Q -divisor Δ on X such that the pair ( X, Δ) is Kawamata log terminal and − ( K X + Δ) is nef and big.”
• Anti-pluricanonical systems on Fano varieties (2016, methodology): “heorem 1.9 and assume (X′,B′ +M′) is exceptional. Then (X′,B′) is log bounded. About this paper. The main tools used in this paper are the minimal model program [31][6], the theory of complements [35][34][37], creating families of non-klt centres using volumes [14][15][26, §6], and the theory of gen”