Blowdown and McKay correspondence for quasitoric orbifolds

Saibal Ganguli

Abstract

Quasitoric orbifolds are topological spaces that admit torus action with some nice properties. They are generalizations of the orbifold toric varieties, such as projective and weighted projective spaces, in algebraic geometry. We develop quasitoric analogues of some algebro-geometric constructions and results on toric varieties.