Witt groups of Grassmann varieties

Author:

Balmer Paul,Calmès Baptiste

Abstract

We compute the Witt groups of split Grassmann varieties, over any regular base  X X . The answer is that the total Witt group of the Grassmannian is a free module over the total Witt ring of  X 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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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