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math.CO2011
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
Alicia Dickenstein, Benjamin Nill, Michèle Vergne
We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the in…
math.CO2011
A homotopy for a complex of free Lie algebras
Michele Vergne
Using the Guichardet construction, we compute the cohomology groups of a complex of free Lie algebras introduced by Alekseev and Torossian.