Factorization of anticanonical maps of Fano type varieties

2014/05/30 by Sung Rak Choi, Choi, Sung Rak, DongSeon Hwang +3
Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1405.7773

Abstract

The purpose of the present paper is to generalize Sakai's work on anticanonical models of rational surfaces to varieties of Fano type. We first prove a characterization of Fano type varieties using the singularities of anticanonical models. Secondly, we study the decomposition of the anticanonical map using the K_X-minimal model program.

Citations

• Introduction to the log minimal model program for log canonical pairs

Related

• On the anti-canonical ring and varieties of Fano type
• Anticanonical divisor with good asymptotic base loci
• The anticanonical complex for non-degenerate toric complete intersections
• Hyperelliptic and trigonal Fano threefolds
• Anti-pluricanonical systems on Fano varieties