9 citations · 39 across the 30 of their papers we have counts for
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Cocharacter-closure and the rational Hilbert-Mumford Theorem
Michael Bate, Sebastian Herpel, Benjamin Martin +1
For a field k, let G be a reductive k-group and V an affine k-variety on which G acts. Using the notion of cocharacter-closed G(k)-orbits in V, we prove a rational version of the c…
On the coadjoint orbits of maximal unipotent subgroups of reductive groups
Simon M. Goodwin, Peter Mosch, Gerhard Roehrle
Let G be a simple algebraic group defined over an algebraically closed field of characteristic 0 or a good prime for G. Let U be a maximal unipotent subgroup of G and \u its Lie al…
Addition-Deletion Theorems for Factorizations of Orlik-Solomon Algebras and nice Arrangements
Torsten Hoge, Gerhard Roehrle
We study the notion of a nice partition or factorization of a hyperplane arrangement due to Terao from the early 1990s. The principal aim of this note is an analogue of Terao's cel…