论文标题

恒定等级及其轨道的奇异四边形铅笔

Pencils of singular quadrics of constant rank and their orbits

论文作者

Boralevi, Ada, Mezzetti, Emilia

论文摘要

我们给出了恒定等级四边形的奇异铅笔的几何描述,将它们与$ \ mathbb {p}^1 $的某些天然相关矢量捆绑包的分裂类型联系起来。然后,我们在一般线性群体的自然作用下研究了它们的晶状体晶体轨道。

We give a geometric description of singular pencils of quadrics of constant rank, relating them to the splitting type of some naturally associated vector bundles on $\mathbb{P}^1$. Then we study their orbits in the Grassmannian of lines, under the natural action of the general linear group.

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