Non-vanishing theorem for generalized log canonical pairs with a polarization

2020/12/30 by Kenta Hashizume, Hashizume, Kenta
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.AG

paper · pdf · doi:10.48550/arxiv.2012.15038

33 pages

arxiv created 2020/12/30 · openalex publication_date 2020/12/30 · arxiv updated 2021/01/01 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

We prove that the non-vanishing conjecture holds for generalized lc pairs with a polarization.

Related

• Non-vanishing theorem for log canonical pairs
• Vanishing theorems for generalized pairs
• Fundamental theorems for semi log canonical pairs
• Non-vanishing theorem for lc pairs admitting a Calabi--Yau pair
• Weak Zariski decompositions and log terminal models for generalized polarized pairs