Groups of Russell type over a curve
Groups of Russell type over a curve
复制标题
曲线上的罗素类型组
DOI：
10.1016/s0022-4049(97)00038-8
复制
发表时间：
1998
影响因子：
0.8
通讯作者：
Y. Takeda
中科院分区：
文献类型：
--
作者：
Y. Takeda
我们考虑曲线上的Russell型群，它们是曲线上的Ga-丛的形式。在这篇文章中，我们证明了在曲线上的Russell型群，不一定是Tango曲线，与基曲线上秩为2的局部自由层相关联。此外，这些局部自由层往往是稳定的，但他们的Frobenius拉回是不稳定的。我们还观察到病态现象的罗素型，即非封闭的整体微分形式的存在性和非约化的自同构群计划的完成。
We consider groups of Russell type over a curve, which are forms of Ga-bundle over a curve. In this article, we show that groups of Russell type over a curve, not necessarily a Tango curve, are associated with locally free sheaves of rank two on the base curve. Moreover, these locally free sheaves are often stable but their Frobenius pull-backs are not stable. We observe also pathological phenomena on completions of groups of Russell type, namely, the existence of non-closed global differential forms and the non-reducedness of the automorphism group scheme.