论文标题
正常束空间曲线的稳定性
Stability of Normal Bundles of Space Curves
论文作者
论文摘要
在本文中，我们证明，当$ d $ $ d $和$ g \ geq 2 $的普通brill-noether空间曲线的正常捆绑包时，并且仅当$（d，g）\ in \ in \ in \ {（5,5,2），（6,4），（6,4）\} $时。当$ g \ \ leq1 $且地面场的特征为零时，正常捆绑包的经典是严格的。我们表明，对于所有理性曲线的特征$ 2 $，这都会失败。
In this paper, we prove that the normal bundle of a general Brill-Noether space curve of degree $d$ and genus $g \geq 2$ is stable if and only if $(d,g) \not\in \{ (5,2), (6,4) \}$. When $g\leq1$ and the characteristic of the ground field is zero, it is classical that the normal bundle is strictly semistable. We show that this fails in characteristic $2$ for all rational curves of even degree.
