2023/05/21 by Bingyi Chen, Jihao Liu, Chen, Bingyi +3
Mathematics · Physics and Astronomy · #14B05 #14E30 #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2305.12337
openalex publication_date 2023/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness theorem for lc generalized pairs. This new approach allows us to prove the contraction theorem for lc generalized pairs without using Kollár's gluing theory.