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Witt groups of Spinor varieties

Title
Witt groups of Spinor varieties
Author(s)
Hudson, ThomasMartirosian, ArthurXie, Heng
Issued Date
2022-11
Citation
Proceedings of the London Mathematical Society, v.125, no.5, pp.1152 - 1178
Type
Article
Keywords
HOMOTOPY-INVARIANCEFORMSTHEOREMCURVES
ISSN
0024-6115
Abstract
We show that Witt groups of spinor varieties (aka. maximal isotropic Grassmannians) can be presented by combinatorial objects called 'even shifted young diagrams'. Our method relies on the Blow-up setup of Balmer-Calmes, and we investigate the connecting homomorphism of the localization sequence via the projective bundle formula of Walter-Nenashev, the projection formula of Calmes-Hornbostel and the excess intersection formula of Fasel. © 2022 The Authors. Proceedings of the London Mathematical Society is copyright © London Mathematical Society.
URI
http://hdl.handle.net/20.500.11750/17327
DOI
10.1112/plms.12479
Publisher
Wiley
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