Cohomology of smooth toric varieties: naturality
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866911035426865152 |
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| author | Franz, Matthias Fu, Xin |
| author_facet | Franz, Matthias Fu, Xin |
| contents | Building on the recent computation of the cohomology rings of smooth toric varieties and partial quotients of moment-angle complexes, we investigate the naturality properties of the resulting isomorphism between the cohomology of such a space and the torsion product involving the Stanley-Reisner ring. If 2 is invertible in the chosen coefficient ring, then the isomorphism is natural with respect to toric morphisms, which for partial quotients are defined in analogy with toric varieties. In general there are deformation terms that we describe explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_03825 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cohomology of smooth toric varieties: naturality Franz, Matthias Fu, Xin Algebraic Topology Algebraic Geometry 14M25, 57S12 (Primary), 14F45, 55N91 (Secondary) Building on the recent computation of the cohomology rings of smooth toric varieties and partial quotients of moment-angle complexes, we investigate the naturality properties of the resulting isomorphism between the cohomology of such a space and the torsion product involving the Stanley-Reisner ring. If 2 is invertible in the chosen coefficient ring, then the isomorphism is natural with respect to toric morphisms, which for partial quotients are defined in analogy with toric varieties. In general there are deformation terms that we describe explicitly. |
| title | Cohomology of smooth toric varieties: naturality |
| topic | Algebraic Topology Algebraic Geometry 14M25, 57S12 (Primary), 14F45, 55N91 (Secondary) |
| url | https://arxiv.org/abs/2104.03825 |