The very effective covers of KO and KGL over Dedekind schemes
Loading...
Date issued
Authors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Reuse License
Abstract
We answer a question of Hoyois–Jelisiejew–Nardin–Yakerson regarding framed models of motivic connective K-theory spectra over Dedekind schemes. That is, we show that the framed suspension spectrum of the presheaf of groupoids of vector bundles (resp. non-degenerate symmetric bilinear bundles) is the effective cover of KGL (resp. very effective cover of KO). One consequence is that, over any scheme, we obtain a spectral sequence from Spitzweck’s motivic cohomology to homotopy algebraic K-theory; it is strongly convergent under mild assumptions.
Description
Keywords
Citation
Published in
Journal of the European Mathematical Society, 27, 11, EMS, Paris, 2025, https://doi.org/10.4171/JEMS/1458