Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-021-01042-w
Abstract: Richardson varieties are obtained as intersections of Schubert and opposite Schubert varieties. We provide a new family of toric degenerations of Richardson varieties inside Grassmannians by studying Grobner degenerations of their corresponding ideals. These degenerations… read more here.
Keywords: richardson varieties; standard monomial; richardson; mathbf ell ... See more keywords
Torus quotients of Richardson varieties
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DOI: 10.1080/00927872.2017.1319476
Abstract: ABSTRACT In this paper, for any simple, simply connected algebraic group G of type A and for any maximal parabolic subgroup P of G, we provide a criterion for a Richardson variety in G∕P to… read more here.
Keywords: line bundle; torus quotients; richardson varieties; quotients richardson ... See more keywords
Torus quotients of Richardson varieties in the Grassmannian
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1668005
Abstract: Abstract We study the GIT quotient of the minimal Schubert variety in the Grassmannian admitting semistable points for the action of maximal torus T, with respect to the T-linearized line bundle and show that this… read more here.
Keywords: torus quotients; richardson varieties; quotients richardson; varieties grassmannian ... See more keywords