Indexes of generic Grassmannians for spin groups

Given integers d$d$ and m$m$, satisfying 1⩽m⩽d/2$1\leqslant m\leqslant d/2$, and an arbitrary base field, let Xm$X_m$ be the m$m$th Grassmannian of a generic d$d$‐dimensional quadratic form of trivial discriminant and Clifford invariant. The index of Xm$X_m$, defined as the g.c.d. of degrees of its...

Full description

Bibliographic Details

Published in:	Proceedings of the London Mathematical Society Vol. 125; no. 4; pp. 825 - 840
Main Authors:	Karpenko, Nikita A., Merkurjev, Alexander S.
Format:	Journal Article
Language:	English
Published:	01-10-2022
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!