Quotients of flag varieties and their birational geometry

Fuente: arXiv
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Main Authors: Barban, Lorenzo, Occhetta, Gianluca, Conde, Luis E. Solá
Format: Preprint
Published: 2025
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_version_ 1866911312167043072
author Barban, Lorenzo
Occhetta, Gianluca
Conde, Luis E. Solá
author_facet Barban, Lorenzo
Occhetta, Gianluca
Conde, Luis E. Solá
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05063
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quotients of flag varieties and their birational geometry
Barban, Lorenzo
Occhetta, Gianluca
Conde, Luis E. Solá
Algebraic Geometry
Primary 14L30, Secondary 14E30, 14L24, 14M17
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.
title Quotients of flag varieties and their birational geometry
topic Algebraic Geometry
Primary 14L30, Secondary 14E30, 14L24, 14M17
url https://arxiv.org/abs/2509.05063