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math.AG2015★ 1 cited
Hessenberg varieties, intersections of quadrics, and the Springer correspondence
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In this paper we introduce a certain class of families of Hessenberg varieties arising from Springer theory for symmetric spaces. We study the geometry of those Hessenberg varietie…
math.AG2015★ 3 cited
The null-cone and cohomology of vector bundles on flag manifolds
Kari Vilonen, Ting Xue
We study the null-cone of a semi-simple algebraic group acting on a number of copies of its Lie algebra via the diagonal adjoint action. We show that the null cone has rational sin…