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This is a Quantitative Study study.

October 3, 2025Open Access

Quotients of flag varieties and their birational geometry

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The Chow quotient of the complete flag variety is computed, demonstrating its structured properties.
It is shown to be smooth, indicating a well-behaved geometric structure.
The study reveals that this variety is a Mori Dream Space, highlighting its rich geometric features.
Birational geometry is described in detail, shedding light on its implications in algebraic geometry.

Implication

Analysis computes Chow quotient of a flag variety, showing it's smooth and a Mori Dream Space.

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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Cite This Study

Barban et al. (2025) studied this question.

synapsesocial.com/papers/68e02f46f0e39f13e7fa2e8d https://doi.org/10.48550/arxiv.2509.05063

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Implication

Analysis computes Chow quotient of a flag variety, showing it's smooth and a Mori Dream Space.

Quotients of flag varieties and their birational geometry

Key Points

Implication

Abstract

Discussion

Cite This Study

Quotients of flag varieties and their birational geometry

Key Points

Implication

Abstract

Discussion

Cite This Study

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