تقرير
PGL orbits in tree varieties
| العنوان: | PGL orbits in tree varieties |
|---|---|
| المؤلفون: | Coskun, Izzet, Eken, Demir, Yun, Chris |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Representation Theory, Primary: 14L30, 14M15, 14M17. Secondary: 14L35, 51N30 |
| الوصف: | In this paper, we introduce tree varieties as a natural generalization of products of partial flag varieties. We study orbits of the PGL action on tree varieties. We characterize tree varieties with finitely many PGL orbits, generalizing a celebrated theorem of Magyar, Weyman and Zelevinsky. We give criteria that guarantee that a tree variety has a dense PGL orbit and provide many examples of tree varieties that do not have dense PGL orbits. We show that a triple of two-step flag varieties $F(k_1, k_2; n)^3$ has a dense PGL orbit if and only if $k_1 + k_2 \not= n$. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.09265 |
| رقم الأكسشن: | edsarx.2307.09265 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |