2023/12/29 by Shunsuke Takagi, Takagi, Shunsuke, Tatsuki Yamaguchi +1
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology
paper · pdf · doi:10.48550/arxiv.2312.17537
We characterize adjoint ideal sheaves via ultraproducts and, utilizing this characterization, study their behavior under pure morphisms. In particular, given a pure morphism f:Y → X between normal quasi-projective complex varieties, a reduced divisor D and an effective ℚ-Weil divisor Γ on X without common components, we have the following result: if the cycle-theoretic pullback E:=f\naturalD is reduced and (Y, E+f^*Γ) is of plt type along E, then (X, D+Γ) is of plt type along D. This provides an affirmative answer to a question posed by Z. Zhuang.