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arXiv · 2604.02562

Integral bases for the second degree cohomology of 4-dimensional toric orbifolds

Tseleung So·Jongbaek Song
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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 \emph{algebraic cellular basis} for integral ordinary cohomology \cite{FSS2}. In addition, when the toric orbifold is an algebraic variety, we determine its Cartier divisor group and Picard group.

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Tseleung So, Jongbaek Song. 2026-04-02. Integral bases for the second degree cohomology of 4-dimensional toric orbifolds. https://arxiv.org/abs/2604.02562

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