论文标题
抛物线矢量束的模量空间的Torelli定理在椭圆曲线上
A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve
论文作者
论文摘要
令$ c $为椭圆曲线，$ w \ in c $，让$ s \ subset c $为基数的有限子集至少$ 3 $。我们证明了torelli类型定理，用于等级两个抛物线矢量捆绑包，并确定线束$ \ mathcal o_c（w）$ over $（c，s）$，相对于重量矢量$ \ big big（\ frac {1} {1} {1} {2} {2} {2}，\ dots，$ frac;
Let $C$ be an elliptic curve, $w\in C$, and let $S\subset C$ be a finite subset of cardinality at least $3$. We prove a Torelli type theorem for the moduli space of rank two parabolic vector bundles with determinant line bundle $\mathcal O_C(w)$ over $(C,S)$ which are semistable with respect to a weight vector $\big(\frac{1}{2}, \dots, \frac{1}{2}\big)$.
