Bull. Korean Math. Soc. Published online June 17, 2021
Abstract : A cascade of toric log del Pezzo surfaces of Picard number one was introduced as a language of classifying all such surfaces. In this paper, we introduce a generalized concept, a semicascade of toric log del Pezzo surfaces. As applications, we discuss K\"ahler--Einstein toric log del Pezzo surfaces and derive a bound of the Picard number in terms of the number of singular points, generalizing some results of Dais and Suyama.
Keywords : toric log del Pezzo surface, toric graph, semicascade