截断格拉斯曼流形、沿施布特亚 Variety 的吹胀与共线变换
Truncated Grassmannians, blow-ups along Schubert varieties and collineations
AI总结：
研究截断格拉斯曼流形在一般旗形 variety 沿施布特子 variety 吹胀中的表现，揭示其与共线变换空间的联系。
摘要：
截断格拉斯曼流形被定义为阿贝尔单位元群作用于项目化楔积度截断的闭包。我们证明在更一般的设定中，此类截断出现在一般旗形 variety 沿施布特子 variety 吹胀的描述中。我们详细讨论格拉斯曼流形的情况。特别是，我们证明这些吹胀是投影到格拉斯曼流形的更大家族中的成员，并通过共线变换空间描述这些投影的纤维。
英文摘要：
Truncated Grassmannians are defined as closures of orbits of abelian unipotent groups acting on the degree truncations of projectivized wedge powers. We show that such truncations in a more general setup show up in the description of the blow-ups of general flag varieties along Schubert subvarieties. We work out the case of Grassmannians in detail. In particular, we show that our blow-ups are members of a larger family of varieties projecting onto Grassmannians, and describe the fibers of these projections via the spaces of collineations.
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。
