INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2015, no.20, pp.10118 - 10142
Publisher
OXFORD UNIV PRESS
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 rst
prove a characterization of Fano type varieties using the singularities of anti-
canonical models. Secondly, we study the decomposition of the anticanonical
map using the KX-minimal model program.