Michel Brion

activity

20022005

most citedToric degenerations of spherical varieties

22 citations · 46 across the 12 of their papers we have counts for

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14 papers · 1 filter

math.AG2005

Stable spherical varieties and their moduli

Valery Alexeev, Michel Brion

We introduce a notion of stable spherical variety which includes the spherical varieties under a reductive group $G$ and their flat equivariant degenerations. Given any projective…

math.AG2005★ 4 cited

Vanishing of top equivariant Chern classes of regular embeddings

Michel Brion, Ivan Kausz

Let $G$ be a connected affine algebraic group and $X$ a regular $G$ -variety (in the sense of Bifet-De Concini-Procesi) with open orbit $G / H$ and boundary divisor $D$ . We show the v…

math.AG2004★ 1 cited

Lectures on the geometry of flag varieties

Michel Brion

These notes are the written version of my lectures at the Banach Center mini-school "Schubert Varieties" in Warsaw, May 18-22, 2003. Their aim is to give a self-contained expositio…

math.AG2004★ 2 cited

Construction of equivariant vector bundles

Michel Brion

Let $X$ be the wonderful compactification of a complex adjoint symmetric space $G / K$ such that $r k (G / K) = r k (G) - r k (K)$ . We show how to extend equivariant vector bundles on $G / K$ to e…

math.AG2004★ 4 cited

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…

math.AG2004★ 22 cited

Toric degenerations of spherical varieties

Valery Alexeev, Michel Brion

We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symm…