Autor:	Inagawa, Taro, Kurano, Kazuhiko
Rok vydání:	2022
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13A30 14E99
Druh dokumentu:	Working Paper
Popis:	Consider the blow-up Y of a weighted projective plane at a point in the open orbit over a field of characteristic 0. We assume that there exists a curve C on Y such that C^2<0 and C.E=1, where E is the exceptional curve. In this paper we give a (very simple) necessary and sufficient condition for finite generation of the Cox ring of Y (Theorem~1.2). It is an affirmative answer to a conjecture due to He and Kurano-Nishida. Comment: There were some typo in the previous version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.01889 Zobrazit plný text záznamu View this record from Arxiv