Abstract
Given a semisimple complex linear algebraic group
This surprising connection between Hessenberg varieties and hyperplane
arrangements enables us to produce a number of interesting
consequences. For instance, the surjectivity of the restriction map
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 16H03924
Award Identifier / Grant number: 15J09343
Award Identifier / Grant number: 16K05152
Funding statement: The first author is partially supported by JSPS Grant-in-Aid for Scientific Research (B) 16H03924. The second author was partially supported by JSPS Grant-in-Aid for JSPS Fellows 15J09343. The third author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) 16K05152.
Acknowledgements
We are grateful to Hiraku Abe for fruitful discussions and comments on this paper and Naoki Fujita for his stimulating question. We are grateful to Hiroaki Terao for the discussion on the free basis for height subarrangements of type A. We are also grateful to Megumi Harada for her comments on the paper. Finally, we thank the referee for valuable and concrete suggestions to improve the paper.
References
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