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19992004
most citedKoszul duality for toric varieties

3 citations · 4 across the 2 of their papers we have counts for

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math.AG20041 cited

Equivariant-constructible Koszul duality for dual toric varieties

Tom Braden, Valery A. Lunts

For a pair of affine toric varieties X and Y defined by dual cones, we define an equivalence between two triangulated categories. The first is a mixed version of the equivariant de…

math.AG20033 cited

Koszul duality for toric varieties

Tom Braden

We show that certain categories of perverse sheaves on a pair of affine toric varieties defined by dual cones are Koszul dual in the sense of Beilinson, Ginzburg and Soergel. The f…

math.AG2002

Hyperbolic localization of intersection cohomology

Tom Braden

For a normal variety X defined over an algebraically closed field with an action of the multiplicative group G_m, we consider the ``hyperbolic localization'' functor from D^b(X) to…

math.AG2000

From moment graphs to intersection cohomology

Tom Braden, Robert MacPherson

We describe a method of computing equivariant and ordinary intersection cohomology of certain varieties with actions of algebraic tori, in terms of structure of the zero- and one-d…

math.AG1999

On the reducibility of characteristic varieties

Tom Braden

We present a result which can be used for stratifications with conical singularities to deduce that a perverse sheaf (in particular, an intersection homology sheaf) has reducible c…

math.AG1999

Perverse sheaves on Grassmannians

Tom Braden

We give a complete quiver description of the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification.…