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Comparison and uniruledness of asymptotic base loci

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arxiv 2309.01031 v2 pith:RJEVVTH4 submitted 2023-09-02 math.AG

Nikolaos Tsakanikas , Zhixin Xie This is my paper · ORCID
classification math.AG
keywords baseasymptoticgeneralizedlocicanonicallocuspairuniruledness
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We prove that the asymptotic base loci of an NQC 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 an NQC 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.

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  1. On minimal model program and Zariski decomposition of potential triples

    math.AG 2025-02 conditional novelty 5.0 of 10

    If the extra divisor in a potential triple admits a birational Zariski decomposition, the triple can be rewritten as a generalized pair, allowing the minimal model program to run.

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