论文标题
$ \ overline {\ Mathcal {m}} _ {0，n} $的$κ$类的回调
Pullbacks of $κ$ classes on $\overline{\mathcal{M}}_{0,n}$
论文作者
论文摘要
Moduli Space $ \ Overline {\ Mathcal {M}} _ {0，N} $带一个codimension- $ d $ cycle Class $κ__{D} $。我们考虑$ a^d（\ overline {\ Mathcal {\ Mathcal {M}} _ {0，n}，\ Mathbb {q}）$ spand of $κ_d$通过$κD$通过遗忘的maps obyful maps跨越，我们找到了$ \ Mathcal {K}^{d} _ {n} $的置换基础，并根据$ d $维度边界阶层在交叉路口配对下描述其歼灭器。作为一个应用程序，我们给出了$ \ edline {\ mathcal {m}} _ {0，n} $的Divisor类组的新置换基础。
The moduli space $\overline{\mathcal{M}}_{0,n}$ carries a codimension-$d$ cycle class $κ_{d}$. We consider the subspace $\mathcal{K}^{d}_{n}$ of $A^d(\overline{\mathcal{M}}_{0,n},\mathbb{Q})$ spanned by pullbacks of $κ_d$ via forgetful maps. We find a permutation basis for $\mathcal{K}^{d}_{n}$, and describe its annihilator under the intersection pairing in terms of $d$-dimensional boundary strata. As an application, we give a new permutation basis of the divisor class group of $\overline{\mathcal{M}}_{0,n}$.
