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arXiv · 0807.3296

Witt groups of Grassmann varieties

Paul Balmer·Baptiste Calmès
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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.

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Paul Balmer, Baptiste Calmès. 2008-07-21. Witt groups of Grassmann varieties. https://doi.org/10.1090/s1056-3911-2012-00613-4

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