Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917382476267520 |
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| author | So, Tseleung Song, Jongbaek |
| author_facet | So, Tseleung Song, Jongbaek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integral bases for the second degree cohomology of 4-dimensional toric orbifolds So, Tseleung Song, Jongbaek Algebraic Topology Primary: 57S12, 14M25, Secondary: 13F55, 57R18 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. |
| title | Integral bases for the second degree cohomology of 4-dimensional toric orbifolds |
| topic | Algebraic Topology Primary: 57S12, 14M25, Secondary: 13F55, 57R18 |
| url | https://arxiv.org/abs/2604.02562 |