Invariant prime ideals in equivariant Lazard rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915554105753600 |
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| author | Hausmann, Markus Meier, Lennart |
| author_facet | Hausmann, Markus Meier, Lennart |
| contents | Let $A$ be an abelian compact Lie group. In this paper we compute the spectrum of invariant prime ideals of the $A$-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of $A$-equivariant formal groups. We further show that this spectrum is homeomorphic to the Balmer spectrum of compact $A$-spectra, with the comparison map induced by equivariant complex bordism homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00850 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Invariant prime ideals in equivariant Lazard rings Hausmann, Markus Meier, Lennart Algebraic Topology Algebraic Geometry 55N22, 57R85, 14L05, 55P91 Let $A$ be an abelian compact Lie group. In this paper we compute the spectrum of invariant prime ideals of the $A$-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of $A$-equivariant formal groups. We further show that this spectrum is homeomorphic to the Balmer spectrum of compact $A$-spectra, with the comparison map induced by equivariant complex bordism homology. |
| title | Invariant prime ideals in equivariant Lazard rings |
| topic | Algebraic Topology Algebraic Geometry 55N22, 57R85, 14L05, 55P91 |
| url | https://arxiv.org/abs/2309.00850 |