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Mathematics > Algebraic Geometry

arXiv:2509.05063 (math)
[Submitted on 5 Sep 2025 ]

Title: Quotients of flag varieties and their birational geometry

Title: 旗变换的商及其双有理几何

Authors:Lorenzo Barban, Gianluca Occhetta, Luis E. Solá Conde
Abstract: We compute the Chow quotient of the complete flag variety of subspaces of a four dimensional complex vector space, show that it is smooth and a Mori Dream Space, and describe in detail its birational geometry.
Abstract: 我们计算四维复向量空间的子空间完全旗簇的Chow商,证明它是光滑的并且是一个Mori Dream空间,并详细描述其双有理几何。
Comments: 40 pages, 8 figures
Subjects: Algebraic Geometry (math.AG)
MSC classes: Primary 14L30, Secondary 14E30, 14L24, 14M17
Cite as: arXiv:2509.05063 [math.AG]
  (or arXiv:2509.05063v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2509.05063
arXiv-issued DOI via DataCite

Submission history

From: Luis Eduardo Sola Conde [view email]
[v1] Fri, 5 Sep 2025 12:56:44 UTC (951 KB)
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