2020/04/01 by Osamu Fujino, Fujino, Osamu
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Primary 14J17 #Secondary 14E30 #math.AG #msc:14E30 #msc:14J17
paper · pdf · doi:10.48550/arxiv.2004.01036
17 pages, very very minor modifications, v3: minor revisions following referee's comments
openalex publication_date 2020/04/01 · arxiv created 2020/08/31 · arxiv updated 2020/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a kind of subadjunction formula for quasi-log canonical pairs. As an application, we prove that a connected projective quasi-log canonical pair whose quasi-log canonical class is anti-ample is simply connected and rationally chain connected. We also supplement the cone theorem for quasi-log canonical pairs. More precisely, we prove that every negative extremal ray is spanned by a rational curve. Finally, we treat the notion of Mori hyperbolicity for quasi-log canonical pairs.