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Comparison and uniruledness of asymptotic base loci

Author:
Nikolaos Tsakanikas, Zhixin Xie
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)
journal:
--
date:
2023-09-01 16:00:00
Abstract
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.
PDF: Comparison and uniruledness of asymptotic base loci.pdf
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