PGL orbits on products of flag varieties

TURKISH JOURNAL OF MATHEMATICS 2026 Open access

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Authors: İzzet Coşkun, Abuzer Gündüz
DOI: 10.55730/1300-0098.3679
Cited by: 0

Abstract

In this paper, we study the existence of a dense orbit for the diagonal [[EQUATION]] action on self-products of partial flag varieties. We determine when there exists a dense orbit for flag varieties of the form [[EQUATION]] when [[EQUATION]] or when [[EQUATION]] and [[EQUATION]] for some [[EQUATION]]. We also show that certain infinite families of products do not have a dense orbit.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
TURKISH JOURNAL OF MATHEMATICS
Publisher
The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS
Volume
50
Issue
4
Pages
746–763
Publication date
17 July 2026
Language
EN