Chromatic Higher Semiadditivity by Height Induction
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929675945639936 |
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| author | Ben-Moshe, Shay |
| author_facet | Ben-Moshe, Shay |
| contents | We give a new proof of the $\infty$-semiadditivity of $K(n)$-local spectra. The proof proceeds by induction on the height via algebraic K-theory, utilizing recent advances in chromatic homotopy theory and the redshift conjecture, instead of using the Ravenel-Wilson computation of the Morava K-theory of Eilenberg-MacLane spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08092 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chromatic Higher Semiadditivity by Height Induction Ben-Moshe, Shay Algebraic Topology K-Theory and Homology We give a new proof of the $\infty$-semiadditivity of $K(n)$-local spectra. The proof proceeds by induction on the height via algebraic K-theory, utilizing recent advances in chromatic homotopy theory and the redshift conjecture, instead of using the Ravenel-Wilson computation of the Morava K-theory of Eilenberg-MacLane spaces. |
| title | Chromatic Higher Semiadditivity by Height Induction |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2501.08092 |