论文标题
通用曲线的重言式环中的关系
Relations in the Tautological Ring of the Universal Curve
论文作者
论文摘要
我们将通用曲线的重言式环的分级片段从下面绑定到最多27属，最多从上方到9。因此，我们获得了属属的通用曲线的重言术环的精确结构。
We bound the dimensions of the graded pieces of the tautological ring of the universal curve from below for genus up to 27 and from above for genus up to 9. As a consequence we obtain the precise structure of the tautological ring of the universal curve for genus up to 9. In particular, we see that it is Gorenstein for these genera.
