On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings

2024/04/11 by Yoshinori Gongyo, Gongyo, Yoshinori, Shigeharu Takayama +1 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2404.07401

Abstract

We give a twisted version of the Kawamata semi-positivity theorem by the ℚ-line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to the finite generation problem for canonical rings of Birkar's generalized pairs.

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• A klt generalized pair with infinitely generated canonical ring

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