On the birational automorphisms of varieties of general type
By Christopher D. Hacon, J. McKernan. Annals of Mathematics, 2010
146 citations recorded by the source corpus.
We show that the number of birational automorphisms of a variety of general type X is bounded by c vol(X;KX), where c is a constant that only depends on the dimension of X.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d42abaae1630f9f37f85c3fd59f7ca35c58532b5
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Openness of K-semistability for Fano varieties (2019, methodology): “at all these special divisors are lc places of a bounded family of complements. The above discussion can be easily extended to a Q-Gorenstein family of log Fano pairs (X,∆) → B, and finally we can use [HMX13] to conclude that b → AX b,∆b(Eb) S(Eb) is a constant function if the special divisor Eb over”
- Anti-pluricanonical systems on Fano varieties (2016, methodology): “The main tools used in this paper are the minimal model program [36][8], the theory of complements [40][39][42], creating families of non-klt centres using volumes [17][18][31, §6], and the theory of generalised polarised pairs [9].”
- ACC for log canonical thresholds (2012, methodology): “Note that this is a slight variation on the definition which appears in [15], where general is replaced by very general.”