11 citations · 15 across the 4 of their papers we have counts for
4 papers
On the existence of flips
Christopher Hacon, James McKernan
We prove the existence of flips in dimension n, contingent on the termination of real flips in dimension n-1.
Shokurov's Rational Connectedness Conjecture
Christopher D Hacon, James McKernan
We prove a conjecture of V. V. Shokurov which in particular implies that the fibers of a resolution of a variety with divisorial log terminal singularities are rationally chain con…
Singularities of divisors of low degree on abelian varieties
Olivier Debarre, Christopher Hacon
Building on previous work of Kollar, Ein, Lazarsfeld, and Hacon, we show that ample divisors of low degree on an abelian variety have mild singularities in case the abelian variety…
Holomorphic one-forms on varieties of general type
Christopher D. Hacon, Sándor J. Kovács
It has been conjectured that varieties of general type do not admit nowhere vanishing holomorphic one-forms. We confirm this conjecture for smooth minimal varieties and for varieti…