论文标题
$ \ mathbb {p}^2 $的一维束带的模量的共同体戒指的发电机
Generators for the cohomology ring of the moduli of one-dimensional sheaves on $\mathbb{P}^2$
论文作者
论文摘要
我们探索了$ \ mathbb {p}^2 $的稳定1维束带的模量空间的共同体结构。我们获得了一组最小的重言式发生器,这暗示着同种学和模量空间的Chow环的最佳产生。我们的方法是通过对重言式关系的几何研究。
We explore the structure of the cohomology ring of the moduli space of stable 1-dimensional sheaves on $\mathbb{P}^2$ of any degree. We obtain a minimal set of tautological generators, which implies an optimal generation result for both the cohomology and the Chow ring of the moduli space. Our approach is through a geometric study of tautological relations.