The $C_2$-equivariant ordinary cohomology of complex quadrics III: Exceptional cases
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909910765142016 |
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| author | Costenoble, Steven R. Hudson, Thomas |
| author_facet | Costenoble, Steven R. Hudson, Thomas |
| contents | In this, the last of three papers about $C_2$-equivariant complex quadrics, we complete the calculation of the equivariant ordinary cohomology of smooth symmetric quadrics in the cases where the fixed sets have more than two components. These calculations imply one for a $C_2$-equivariant Grassmannian, which we use to prove an equivariant refinement of the result that there are 27 lines on a cubic surface in $\mathbb{P}^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $C_2$-equivariant ordinary cohomology of complex quadrics III: Exceptional cases Costenoble, Steven R. Hudson, Thomas Algebraic Topology 55N91 (Primary), 14N10, 14N15, 55N25, 57R91 (Secondary) In this, the last of three papers about $C_2$-equivariant complex quadrics, we complete the calculation of the equivariant ordinary cohomology of smooth symmetric quadrics in the cases where the fixed sets have more than two components. These calculations imply one for a $C_2$-equivariant Grassmannian, which we use to prove an equivariant refinement of the result that there are 27 lines on a cubic surface in $\mathbb{P}^3$. |
| title | The $C_2$-equivariant ordinary cohomology of complex quadrics III: Exceptional cases |
| topic | Algebraic Topology 55N91 (Primary), 14N10, 14N15, 55N25, 57R91 (Secondary) |
| url | https://arxiv.org/abs/2511.14264 |