22 citations · 48 across the 14 of their papers we have counts for
4 papers · 1 filter
On orbit closures of Borel subgroups in spherical varieties
Michel Brion
Let F be the flag variety of a complex semi-simple group G, let H be an algebraic subgroup of G acting on F with finitely many orbits, and let V be an H-orbit closure in F. Expandi…
Large Schubert varieties
Michel Brion, Patrick Polo
For a semisimple adjoint algebraic group and a Borel subgroup , consider the double classes in and their closures in the canonical compactification of : we call…
Arrangements of hyperplanes I: Rational functions and Jeffrey-Kirwan residue
Michel Brion, Michele Vergne
Consider the space of rational functions of several variables with poles on a fixed arrangement of hyperplanes. We obtain a decomposition of as a module over the ri…
Arrangements of hyperplanes II: Szenes formula and Eisenstein series
Michel Brion, Michele Vergne
The aim of this article is to generalize in several variables some formulae for Eisenstein series in one variable. For example the formula $2ζ(2k) = (2π)^{2k} \frac{B_{2k}}{(2k)!}…