Abstract:
It is usually not straightforward to work with the category of
perverse sheaves on a variety using only its definition as a heart
of a $t$-structure. In this paper, the category of perverse sheaves
on a smooth toric variety with its orbit stratification is described
explicitly as a category of finite-dimensional modules over an algebra. An analogous result is also established for various
categories of equivariant perverse sheaves, which in particular
gives a description of perverse sheaves on toric orbifolds, and we
also compare the derived category of the category of perverse
sheaves to the derived category of constructible sheaves.
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