Some necessary and sufficient condition for finite generation of symbolic Rees rings
نویسندگان
چکیده
Consider the blow-up Y of a weighted projective plane at point in open orbit over field characteristic 0. We assume that there exists curve C on such C2<0 and C.E=1, where E is exceptional curve. In this paper we give (very simple) necessary sufficient condition for finite generation Cox ring (Theorem 1.2). It an affirmative answer to conjecture due He Kurano-Nishida.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.11.022