论文标题
有限生成符号rees环的必要条件
Some necessary and sufficient condition for finite generation of symbolic Rees rings
论文作者
论文摘要
考虑在特征0的开放轨道上的一个点上的加权投影平面的爆炸y。我们假设在y上存在曲线，使得c^2 <0和c.e = 1，其中e是特殊的曲线。在本文中，我们给出了（非常简单的）必要条件，以实现有限的Y（定理〜1.2）的有限生成。这是他和库拉诺·北田（Kurano-Nishida）引起的猜想的肯定答案。
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.
