论文标题
抛物线连接和抛物线处理的无限变形
Infinitesimal deformations of parabolic connections and parabolic opers
论文作者
论文摘要
我们计算表格$$（x，s，e_*，d）的四倍体的无限变形，其中$（x，s）$是一个紧凑的riemann Surface，带有$ n $标记点，$ e _*$是parabolic vector bundle on $ x $，带有$ x $，$ x $，$ d $ $ d $ $ d $ $ d parboric ins paraboric ins parabolic conventigh使用它，我们计算了$（x，s，d）$的无限变形，其中$ d $是抛物线sl（r，c） - $（x，s）$。结果表明，从三倍的模量$（x，s，d）$的模构图，其中$ d $是抛物线sl（r，c）$（x，s）$上的抛物线sl（x，s）$，到sl（r，c） - x-s的character品种，是一种浸入。
We compute the infinitesimal deformations of quadruples of the form $$(X, S, E_*, D),$$ where $(X, S)$ is a compact Riemann surface with $n$ marked points, $E_*$ is a parabolic vector bundle on $X$ with parabolic structure over $S$, and $D$ is a parabolic connection on $E_*$. Using it we compute the infinitesimal deformations of $(X, S, D)$, where $D$ is a parabolic SL(r, C)-oper on $(X, S)$. It is shown that the monodromy map, from the moduli space of triples $(X, S, D)$, where $D$ is a parabolic SL(r, C)-oper on $(X, S)$, to the SL(r, C)-character variety of X - S, is an immersion.
