Boundedness of log Calabi–Yau pairs of Fano type
By Christopher D. Hacon. Mathematical Research Letters, 2014
56 citations recorded by the source corpus.
We prove a boundedness result for klt pairs $(X,B)$ such that $K_X+B\equiv 0$ and $B$ is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/42acdb33e626871cda34bb495f30f8262dc47f01
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In Geometry and Topology
- C. Birkar
- Y. Odaka
- Christopher D. Hacon
- H. Blum
- O. Fujino
- F. Catanese
- Ingrid Bauer
- Stefano Filipazzi
Citations in the corpus
- Singularities of linear systems and boundedness of Fano varieties (2016, background): “ show such X′ form a bounded family because then there is a bounded natural number nsuch that KX′ has a klt n-complement KX′ +Ω′ which in turn gives a klt n-complement KX +Ω of KX, hence we can apply [13]. By Theorems 2.10 and 2.13, there is a natural number mdepending only on d,ǫsuch that | − mKX′|”