On the cohomology of Fano varieties and the Springer correspondence

TH Chen; K Vilonen; T Xue

Journal article

On the cohomology of Fano varieties and the Springer correspondence

TH Chen, K Vilonen, T Xue

Advances in Mathematics | ACADEMIC PRESS INC ELSEVIER SCIENCE | Published : 2017

DOI: 10.1016/j.aim.2017.08.008

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.

University of Melbourne Researchers

Kari Vilonen Author

Ting Xue Author

Related Projects (2)

Geometric methods in representation theory and the Langlands program

This research project aims to study questions in representation theory of groups using geometric methods. A central role is played by Langla..

Algebraic groups and Springer theory

This project aims to explore representation theory, which is a study of the basic symmetries that occur in nature. By its nature, representa..

Grants

Awarded by National Science Foundation

Funding Acknowledgements

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.