Witt groups of Grassmann varieties

Details Witt groups of Grassmann varieties Witt groups of Grassmann varieties

2008-07-21

arxiv.org/abs/0807.3296v2

Mathematics

Algebraic Geometry

31 pages, 16 figures. This updated version has been rewritten to comply with the new formalism on total Witt groups recently d

Scientific paper

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.

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