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VOL. 75 | 2017 A variant of Shokurov's criterion of toric surface
Noboru Nakayama

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

Abstract

As a variant of Shokurov's criterion of toric surface, we give a criterion of two new classes of normal projective surfaces, called pseudo-toric surfaces of defect one and half-toric surfaces. A typical example of pseudo-toric surface of defect one is a projective toric surface blown up at a non-singular point of the boundary divisor. A half-toric surface is the quotient of a projective toric surface by an almost free involution preserving the boundary divisor. The structure of pseudo-toric surface of defect one and that of half-toric surface are also studied in detail.

Information

Published: 1 January 2017
First available in Project Euclid: 21 September 2018

zbMATH: 1396.14033
MathSciNet: MR3793369

Digital Object Identifier: 10.2969/aspm/07510287

Subjects:
Primary: 14J26
Secondary: 14J10, 14M25

Rights: Copyright © 2017 Mathematical Society of Japan

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