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arXiv · 2501.08092

Chromatic Higher Semiadditivity by Height Induction

Shay Ben-Moshe
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Abstract

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.

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Shay Ben-Moshe. 2025-01-14. Chromatic Higher Semiadditivity by Height Induction. https://arxiv.org/abs/2501.08092

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