Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Precup, Martha"'
This paper investigates the geometry of regular Hessenberg varieties associated with the minimal indecomposable Hessenberg space in the flag variety of a complex reductive group. These varieties form a flat family of irreducible subvarieties of the f
Externí odkaz:
http://arxiv.org/abs/2411.17487
Autor:
Goldin, Rebecca, Precup, Martha
We study a collection of Hessenberg varieties in the type A flag variety associated to a nonzero semisimple matrix whose conjugacy class has minimal dimension. We prove each such minimal semisimple Hessenberg variety is a union Richardson varieties a
Externí odkaz:
http://arxiv.org/abs/2408.07017
We consider a generalization of the Springer resolution studied in earlier work of the authors, called the extended Springer resolution. In type $A$, this map plays a role in Lusztig's generalized Springer correspondence comparable to that of the Spr
Externí odkaz:
http://arxiv.org/abs/2309.13764
This article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the general linear group. We establish the specific conditions under which the
Externí odkaz:
http://arxiv.org/abs/2309.05770
We study geometric and topological properties of Hessenberg varieties of codimension one in the type A flag variety. Our main results: (1) give a formula for the Poincar\'e polynomial, (2) characterize when these varieties are irreducible, and (3) sh
Externí odkaz:
http://arxiv.org/abs/2208.06299
Autor:
Precup, Martha, Sommers, Eric
We consider generalizations of the Springer resolution of the nilpotent cone of a simple Lie algebra by replacing the cotangent bundle with certain other vector bundles over the flag variety. We show that the analogue of the Springer sheaf has as dir
Externí odkaz:
http://arxiv.org/abs/2201.13346
Autor:
Harada, Megumi, Precup, Martha
It is well-known that the $T$-fixed points of a Schubert variety in the flag variety $GL_n(\mathbb{C})/B$ can be characterized purely combinatorially in terms of Bruhat order on the symmetric group $\mathfrak{S}_n$. In a recent preprint, Cho, Hong, a
Externí odkaz:
http://arxiv.org/abs/2112.13250
After proving that every Schubert variety in the full flag variety of a complex reductive group $G$ is a general Hessenberg variety, we show that not all such Schubert varieties are adjoint Hessenberg varieties. In fact, in types A and C, we provide
Externí odkaz:
http://arxiv.org/abs/2107.07929
Publikováno v:
La Matematica, 2021
Recent work of Shareshian and Wachs, Brosnan and Chow, and Guay-Paquet connects the well-known Stanley-Stembridge conjecture in combinatorics to the dot action of the symmetric group $S_n$ on the cohomology rings $H^*(Hess(S,h))$ of regular semisimpl
Externí odkaz:
http://arxiv.org/abs/2101.03191
The Springer resolution of the nilpotent cone is used to give a geometric construction of the irreducible representations of Weyl groups. Borho and MacPherson obtain the Springer correspondence by applying the decomposition theorem to the Springer re
Externí odkaz:
http://arxiv.org/abs/2002.12480