22 citations · 48 across the 14 of their papers we have counts for
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math.AG2001
A geometric approach to Standard Monomial Theory
M. Brion, V. Lakshmibai
We obtain a geometric construction of a ``standard monomial basis'' for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is com…
math.AG2001
Positivity in the Grothendieck group of complex flag varieties
Michel Brion
We prove a conjecture of A. S. Buch concerning the structure constants of the Grothendieck ring of a flag variety with respect to its basis of Schubert structure sheaves. For this,…
math.AG2001
The virtual Poincare polynomials of homogeneous spaces
Michel Brion, Emmanuel Peyre
We factor the virtual Poincare polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as $t^{2u} (t^2-1)^r…