Rational nef and anti-nef polytopes are not uniform

Abstract

We give two examples which show that rational nef and anti-nef polytopes are not uniform even for klt surface pairs, answering a question of Chen-Han. We also show that rational nef polytopes are uniform when the Cartier indices are uniformly bounded.

References in corpus (1)

• Boundedness of ($\epsilon ,n$)-Complements for projective generalized pairs of Fano type