Witt groups of Spinor varieties
نویسندگان
چکیده
We show that Witt groups of spinor varieties (aka.\ maximal isotropic Grassmannians) can be presented by combinatorial objects called even shifted young diagram. Our method relies on the Blow-up setup Balmer-Calm\`es, and we investigate connecting homomorphism localization sequence via projective bundle formula Walter-Nenashev, projection Calm\`es-Hornbostel excess intersection Fasel.
منابع مشابه
Witt Groups of Grassmann Varieties
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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ژورنال
عنوان ژورنال: Proceedings of The London Mathematical Society
سال: 2022
ISSN: ['1460-244X', '0024-6115', '1234-5678']
DOI: https://doi.org/10.1112/plms.12479