Witt groups of Grassmann varieties
Algebraic Geometry
2012-12-27 v3 K-Theory and Homology
Abstract
We compute the total Witt groups of (split) Grassmann varieties, over any regular base X. The answer is a free module over the total Witt ring of X. We provide an explicit basis for this free module, which is indexed by a special class of Young diagrams, that we call even Young diagrams.
Cite
@article{arxiv.0807.3296,
title = {Witt groups of Grassmann varieties},
author = {Paul Balmer and Baptiste Calmès},
journal= {arXiv preprint arXiv:0807.3296},
year = {2012}
}
Comments
31 pages, 16 figures. Final version. Complies with the new formalism on total Witt groups recently developed by the authors (arXiv:1104.5051)