@article{9fd2fa77bb9e4094b7d16a033b9fce58,
title = "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 P2g+1, using Springer theory for symmetric spaces.",
keywords = "Fano variety, Hessenberg variety, Hyperelliptic curve, Springer correspondence, Symmetric space",
author = "Chen, {Tsao Hsien} and Kari Vilonen and Ting Xue",
note = "Funding Information: We thank the Max Planck Institute for Mathematics in Bonn for support, hospitality, and a nice research environment. Furthermore KV and TX thank the Research Institute for Mathematical Sciences in Kyoto for support, hospitality, and a nice research environment. Special thanks are due to Dennis Stanton for proving a key combinatorial identity and for writing an appendix containing the proof. We also thank the referee for the careful reading of the paper. Publisher Copyright: {\textcopyright} 2017",
year = "2017",
month = oct,
day = "1",
doi = "10.1016/j.aim.2017.08.008",
language = "English (US)",
volume = "318",
pages = "515--533",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}