论文标题
关于Birational Torelli定理
On birational Torelli theorems
论文作者
论文摘要
令$ g $为$ \ mathbb {c} $的简单简单连接的线性代数组。我们证明了$ 2 $的torelli定理，用于在平滑曲线$ \ geq 3 $上的半固定原理$ g $捆绑的模量空间，如果两个这样的模量空间为$ 2 $ 2 $ birational，则曲线是同态的。我们还证明了$ 3 $的托雷利定理，用于稳定的符号抛物线束的模量空间，这是$ \ geq 4 $的平滑曲线。
Let $G$ be a simple simply-connected connected linear algebraic group over $\mathbb{C}$. We proved a $2$-birational Torelli theorem for the moduli space of semistable principal $G$-bundles over a smooth curve of genus $\geq 3$, which says that if two such moduli spaces are $2$-birational then the curves are isomorphic. We also proved a $3$-birational Torelli theorem for the moduli space of stable symplectic parabolic bundles over a smooth curve of genus $\geq 4$.
