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http://dx.doi.org/10.4134/BKMS.b210211

SEMICASCADES OF TORIC LOG DEL PEZZO SURFACES  

Hwang, DongSeon (Department of Mathematics Ajou University)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.1, 2022 , pp. 179-190 More about this Journal
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 Kähler-Einstein toric log del Pezzo surfaces and derive a bound on 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;
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