Shokurov's Rational Connectedness Conjecture

Abstract

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 connected.

References in corpus (1)

• Boundedness of log terminal Fano pairs of bounded index

Cited by in corpus (3)

• Nef anti-canonical divisors and rationally connected fibrations
• Boundedness results for singular Fano varieties and applications to Cremona groups
• Uniformisation of higher-dimensional minimal varieties