93 citations · 346 across the 15 of their papers we have counts for
17 papers
Boundedness of varieties of log general type
Christopher D. Hacon, James McKernan, Chenyang Xu
We survey recent results on the boundedness of the moduli functor of stable pairs
A geometric characterisation of toric varieties
Morgan Brown, James McKernan, Roberto Svaldi +1
We prove a conjecture of Shokurov which characterises toric varieties using log pairs.
Boundedness of moduli of varieties of general type
Christopher Hacon, James McKernan, Chenyang Xu
We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.
ACC for log canonical thresholds
Christopher Hacon, James McKernan, Chenyang Xu
We show that log canonical thresholds satisfy the ACC
The augmented base locus in positive characteristic
Paolo Cascini, James McKernan, Mircea Mustata
Let L be a nef line bundle on a projective scheme X in positive characteristic. We prove that the augmented base locus of L is equal to the union of the irreducible closed subsets…
On the birational automorphisms of varieties of general type
Christopher Hacon, James McKernan, Chenyang Xu
We show that the number of birational automorphisms of a variety of general type X is bounded by c \cdot \vol(X,K_X), where c is a constant which only depends on the dimension of X…