On the cohomology of Fano varieties and the Springer correspondence

Tsao Hsien Chen, Kari Vilonen, Ting Xue

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)515-533
Number of pages19
JournalAdvances in Mathematics
Volume318
DOIs
StatePublished - Oct 1 2017
Externally publishedYes

Bibliographical 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:
© 2017

Keywords

  • Fano variety
  • Hessenberg variety
  • Hyperelliptic curve
  • Springer correspondence
  • Symmetric space

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