Chromatic Higher Semiadditivity by Height Induction
Algebraic Topology
2025-01-15 v1 K-Theory and Homology
Abstract
We give a new proof of the -semiadditivity of -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.
Keywords
Cite
@article{arxiv.2501.08092,
title = {Chromatic Higher Semiadditivity by Height Induction},
author = {Shay Ben-Moshe},
journal= {arXiv preprint arXiv:2501.08092},
year = {2025}
}
Comments
14 pages, comments are welcome!