Milnor-Witt Cycle Modules
Algebraic Geometry
2020-05-04 v3
Abstract
We generalize Rost's theory of cycle modules using Milnor-Witt K-theory instead of the classical Milnor K-theory. We obtain a (quadratic) setting to study general cycle complexes and their (co)homology groups. The usual constructions are developed: proper pushfoward, (essentially) smooth pullback, long exact sequences, (coniveau) spectral sequences and products, as well as the homotopy invariance property; in addition, Gysin morphisms for lci maps are constructed. We prove an adjunction theorem linking our theory to Rost's.
Cite
@article{arxiv.1811.12163,
title = {Milnor-Witt Cycle Modules},
author = {Niels Feld},
journal= {arXiv preprint arXiv:1811.12163},
year = {2020}
}
Comments
Accepted for publication in Journal of Pure and Applied Algebra