BROWSE

Related Scientist

Lee, Eun Jeong's photo.

Lee, Eun Jeong
기하학 수리물리 연구단
more info

ITEM VIEW & DOWNLOAD

Generic torus orbit closures in Schubert varieties

Cited 0 time in webofscience Cited 0 time in scopus
18 Viewed 0 Downloaded
Title
Generic torus orbit closures in Schubert varieties
Author(s)
Eunjeong Lee; Mikiya Masuda
Subject
Bruhat interval polytope, ; Forest, ; Pattern avoidance, ; Poincaré polynomial, ; Schubert variety, ; Toric variety
Publication Date
2020-02
Journal
JOURNAL OF COMBINATORIAL THEORY SERIES A, v.170, pp.105143
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Abstract
© 2019 Elsevier Inc. The closure of a generic torus orbit in the flag variety G/B of type An−1 is known to be a permutohedral variety and well studied. In this paper we introduce the notion of a generic torus orbit in the Schubert variety Xw (w∈Sn) and study its closure Yw. We identify the maximal cone in the fan of Yw corresponding to a fixed point uB (u≤w), associate a graph Γw(u) to each u≤w, and show that Yw is smooth at uB if and only if Γw(u) is a forest. We also introduce a polynomial Aw(t) for each w, which agrees with the Eulerian polynomial when w is the longest element of Sn, and show that the Poincaré polynomial of Yw agrees with Aw(t2) when Yw is smooth
URI
https://pr.ibs.re.kr/handle/8788114/8416
DOI
10.1016/j.jcta.2019.105143
ISSN
0097-3165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse