Semicascades of toric log del Pezzo surfaces
Bull. Korean Math. Soc.
Published online June 17, 2021
DongSeon Hwang
Ajou University
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
MSC numbers : 14M25,14J45, 14J26, 52B20
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