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math.AG2010
Geometry of orbits of permanents and determinants
Shrawan Kumar
We prove that the orbit closure of the determinant is not normal. A similar result is obtained for the orbit closure of the permanent multiplied by a power of a linear form.
math.AG2010
A generalization of Fulton's conjecture for arbitrary groups
Prakash Belkale, Shrawan Kumar, Nicolas Ressayre
We prove a generalization of Fulton's conjecture which relates intersection theory on an arbitrary flag variety to invariant theory.