Comparison and uniruledness of asymptotic base loci

Nikolaos Tsakanikas, Zhixin Xie

Published 2023-09-02Version 1

We prove that the asymptotic base loci of a klt generalized pair with big canonical class are uniruled. We also show that the non-nef locus and the diminished base locus of the adjoint divisor of a log canonical generalized pair coincide. As applications, we study the uniruledness of the asymptotic base loci associated with pseudo-effective divisors on generalized log Calabi-Yau type varieties.