Quaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology
Algebraic Geometry
2020-07-01 v5
Abstract
In this paper, we show that the motive of the quaternionic Grassmannian (as defined by I. Panin and C. Walter) splits in the category of effective MW-motives (as defined by B. Calm\`es, F. D\'eglise and J. Fasel). Moreover, we extend this result to an arbitrary symplectic bundle, obtaining the so-called quaternionic projective bundle theorem. Finally, we give the Gysin triangle in MW-motivic cohomology.
Keywords
Cite
@article{arxiv.1703.02877,
title = {Quaternionic Projective Bundle Theorem and Gysin Triangle in MW-Motivic Cohomology},
author = {Nanjun Yang},
journal= {arXiv preprint arXiv:1703.02877},
year = {2020}
}
Comments
Final version, 16 pages, substantially revised, results improved, to appear in Manuscripta Mathematica