A bound for canonical dimension of the (semi)spinor groups

Using the theory of nonnegative intersections, duality of the Schubert varieties, and a Pieri-type formula for the varieties of maximal, totally isotropic subspaces, we get an upper bound for the canonical dimension cd ( Spin n ) of the spinor group Spin n . A lower bound is given by the canonical 2...

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Bibliographic Details

Published in:	Duke mathematical journal Vol. 133; no. 2; pp. 391 - 404
Main Author:	Karpenko, Nikita A.
Format:	Journal Article
Language:	English
Published:	DUKE University Press 01-06-2006 Duke University Press
Subjects:	14C25 14L17 18D35 Affine algebraic groups Algebraic cycles hyperalgebra constructions [See also 17B45
Online Access:	Get full text
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