代数II的唯一表示的几何。不同的观点和独特性
The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness
摘要：
我们提供了两个替代设置的一个家庭的品种建模的unisbrands表示与固定序列的合成因子在有限维代数。第一个是一个准投射子品种的格拉斯曼包含的成员提到的家庭作为一个主要的仿射开盖;除其他好处外，一个来自不变性从这个内在的描述。第二种观点重新解释的“unispensing品种”的局部封闭的子品种的传统的模块品种，特别是，它表现出封闭的纤维的典范地图从unispensing品种的unispensing表示。
英文摘要：
We provide two alternate settings for a family of varieties modeling the uniserial representations with fixed sequence of composition factors over a finite dimensional algebra. The first is a quasi-projective subvariety of a Grassmannian containing the members of the mentioned family as a principal affine open cover; among other benefits, one derives invariance from this intrinsic description. The second viewpoint re-interprets the `uniserial varieties' as locally closed subvarieties of the traditional module varieties; in particular, it exhibits closedness of the fibres of the canonical maps from the uniserial varieties to the uniserial representations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
