A characterization of projective spaces from the Mori theoretic viewpoint

2020/01/15 by Osamu Fujino, Fujino, Osamu, Keisuke Miyamoto +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14E30 #Secondary 14F17 #math.AG #msc:14E30 #msc:14F17

paper · pdf · doi:10.48550/arxiv.2001.05274

10 pages, v2: minor revisions, Theorem 1.4 was added, v3: minor revisions following referee's comments

arxiv created 2020/06/20 · arxiv updated 2020/06/23

Abstract

We give a characterization of projective spaces for quasi-log canonical pairs from the Mori theoretic viewpoint.

Related

• Log canonical pairs with boundaries containing ample divisors
• Fundamental theorems for semi log canonical pairs
• Characterizing the projective space after Cho, Miyaoka and Shepherd-Barron
• Characterization theorems for the projective space and vector bundle adjunction
• Subadjunction for quasi-log canonical pairs and its applications