论文标题
抛物线连接和根堆
Parabolic connections and stack of roots
论文作者
论文摘要
鉴于在具有严格的正常交叉分裂的田地上的方案，我们定义了强烈的抛物线连接，并与当前的希格斯捆绑术术语保持一致。当权重与规定的分母合理时，我们表明，强烈的抛物线连接对应于相应的根堆栈上的Holomorthic Connections。我们使用此通信来确定可以从其直接图像重建的根堆上的全态连接到模量空间。
Given a scheme over a field endowed with a strict normal crossings divisor, we define strongly parabolic connections, consistently with the current terminology for Higgs bundles. When the weights are rational with prescribed denominators, we show that strongly parabolic connections correspond to holomorphic connections on the corresponding stack of roots. We use this correspondence to establish that a holomorphic connection on a stack of roots can be reconstructed from its direct image to the moduli space.
