论文标题
广义的jouanolou二元性，弱戈伦斯坦环和对代数的应用
Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras
论文作者
论文摘要
我们提供了适用于多种情况的Jouanolou二元性的概括。这种广义二元性发生的环境是一种新的戒指，我们介绍并称弱Gorenstein。作为主要结果，我们获得了一个新的通用框架来研究爆炸代数。我们使用结果来研究和确定某些理想家族的REES代数的定义方程。
We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings, that we introduce and call weakly Gorenstein. As a main consequence, we obtain a new general framework to investigate blowup algebras. We use our results to study and determine the defining equations of the Rees algebra of certain families of ideals.
