Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
Abstract
We study toric orbifolds of real dimension four with vanishing odd-degree cohomology and obtain a basis for its degree-two equivariant cohomology with integral coefficients by identifying it with the intersection of certain lattices. As applications, we provide an alternative construction of the algebraic cellular basis for integral ordinary cohomology FSS2. In addition, when the toric orbifold is an algebraic variety, we determine its Cartier divisor group and Picard group.
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