论文标题
元素$ n $的椭圆形属用于完整的交叉口
Elliptic genera of level $N$ for complete intersections
论文作者
论文摘要
我们在任何完整的交叉点上研究$γ_1（n）$的cusps的椭圆属$ n $。这些属被描述为广义二项式系数的总结，其中每个广义二项式系数与完整交叉点的维度和多度有关。对于完整的交点$ x_n（\ usewissline {d}）$，写入$ c_1（x_n（\ usewiseline {d}）））= c_1x $，其中$ x \ in H^2（x_n（x_n（\ usevenline {d}}）在$ c_1> 0，= 0 $或$ <0 $的情况下，我们主要讨论了$ x_n（\ usevenline {d}）$的级别$ n $的椭圆形属的值。特别是，有关todd属的值，$ \ hat {a} $ - 属和$ a_k $ -genus的$ x_n（\ usevenline {d}）$可以从级别$ n $的椭圆属中得出。
We study the elliptic genera of level $N$ at the cusps of $Γ_1(N)$ for any complete intersection. These genera are described as the summations of generalized binomial coefficients, where each generalized binomial coefficient is related to the dimension and multi-degree of complete intersection. For complete intersection $X_n(\underline{d})$, write $c_1(X_n(\underline{d}))=c_1x$, where $x\in H^2(X_n(\underline{d});\mathbb{Z})\cong\mathbb{Z}$ is a generator. We mainly discuss the values of the elliptic genera of level $N$ for $X_n(\underline{d})$ in the case of $c_1>0, =0$ or $<0$. In particular, the values about the Todd genus, $\hat{A}$-genus and $A_k$-genus of $X_n(\underline{d})$ can be derived from the elliptic genera of level $N$.
