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8 papers · 1 filter
On compactifications of the Steinberg zero-fiber
Thomas Haahr Lynderup, Jesper Funch Thomsen
Let G be a connected semisimple linear algebraic group over an algebraically closed field k of positive characteristic and let X denote an equivariant embedding of G. We define a d…
Closures of Steinberg fibers in twisted wonderful compactifications
Xuhua He, Jesper Funch Thomsen
By a case-free approach we give a precise description of the closure of a Steinberg fiber within a twisted wonderful compactification of a simple linear algebraic group. In the non…
Schubert Unions in Grassmann Varieties
Johan P. Hansen, Trygve Johnsen, Kristian Ranestad
We study subsets of Grassmann varieties G(l,m) over a field F, such that these subsets are unions of Schubert cycles, with respect to a fixed flag. We study the linear spans of, an…
Frobenius splitting of equivariant closures of regular conjugacy classes
Jesper Funch Thomsen
Let denote a connected semisimple and simply connected algebraic group over an algebraically closed field of positive characteristic and let denote a regular element of…
F-regularity of large Schubert varieties
Michel Brion, Jesper Funch Thomsen
Let G denote a connected reductive algebraic group over an algebraically closed field k and let X denote a projective G x G-equivariant embedding of G. The large Schubert varieties…
Positivity of quiver coefficients through Thom polynomials
A. S. Buch, L. M. Feher, R. Rimanyi
Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci…