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arXiv · 2509.05063

Quotients of flag varieties and their birational geometry

Lorenzo Barban·Gianluca Occhetta·Luis E. Solá Conde
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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.

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Lorenzo Barban, Gianluca Occhetta, Luis E. Solá Conde. 2025-09-05. Quotients of flag varieties and their birational geometry. https://arxiv.org/abs/2509.05063

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