On the cohomology of Fano varieties and the Springer correspondence

Abstract

In this paper we compute the cohomology of the Fano varieties of $k$-planes in the smooth complete intersection of two quadrics in ${\mathbb{P}}^{2g+1}$, using Springer theory for symmetric spaces.

arXiv commentWith an appendix by Dennis Stanton

References in corpus (2)

• Maximal linear spaces contained in the base loci of pencils of quadrics
• A formula for certain Shalika germs of ramified unitary groups