论文标题
在一般曲线上的半稳定捆绑包的模量堆栈的重言式代数
Tautological algebra of the moduli stack of semi stable bundles of rank two on a general curve
论文作者
论文摘要
我们本文的目的是确定Brill Noether基因座的共同体学类别在Moduli stack $ \ Mathcal {U} _C（N，D）等级$ n $ and deg $ d $的可分辨捆绑包中产生的重言式代数。当$ c $是一条普通平滑的投射曲线时，$ g \ geq 2 $，$ n = 2 $，$ d = 2g-2 $，$ \ nathcal {u} _c（2,2g-2）$的重言式代数（分别是$ \ $ \ \ \ \ \ \ \ \ \ {su} _c（su} _c（2，l）$，$ claste $ claste $ claster $ claste; theta除数$θ$）。
Our aim in this paper is to determine the tautological algebra generated by the cohomology classes of the Brill Noether loci in the rational cohomology of the moduli stack $\mathcal{U}_C(n,d)$ of semistable bundles of rank $n$ and degree $d$. When $C$ is a general smooth projective curve of genus $g\geq 2$, $n=2$, $d=2g-2$, the tautological algebra of $ \mathcal{U}_C(2,2g-2)$ (resp. $\mathcal{SU}_C(2,L)$, $deg(L)=2g-2)$) is generated by the divisor classes (resp. the Theta divisor $Θ$).
