On the cohomology of Fano varieties and the Springer correspondence

Tsao Hsien Chen; Kari Vilonen; Ting Xue

doi:10.1016/j.aim.2017.08.008

On the cohomology of Fano varieties and the Springer correspondence

Tsao Hsien Chen, Kari Vilonen, Ting Xue

Research output: Contribution to journal › Article › peer-review

6 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 P^2g+1, using Springer theory for symmetric spaces.

Original language	English (US)
Pages (from-to)	515-533
Number of pages	19
Journal	Advances in Mathematics
Volume	318
DOIs	https://doi.org/10.1016/j.aim.2017.08.008
State	Published - Oct 1 2017
Externally published	Yes

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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http://hdl.handle.net/10138/307131

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AU - Xue, Ting

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N2 - 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.

AB - 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.

KW - Fano variety

KW - Hessenberg variety

KW - Hyperelliptic curve

KW - Springer correspondence

KW - Symmetric space

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ER -

On the cohomology of Fano varieties and the Springer correspondence

Abstract

Bibliographical note

Keywords

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