• Corpus ID: 119618118

Decomposing Hessenberg varieties over classical groups

@article{Tymoczko2002DecomposingHV,
  title={Decomposing Hessenberg varieties over classical groups},
  author={Julianna Tymoczko},
  journal={arXiv: Algebraic Geometry},
  year={2002}
}
Hessenberg varieties are a family of subvarieties of the flag variety, including the Springer fibers, the Peterson variety, and the entire flag variety itself. The seminal example arises from a problem in numerical analysis and consists for a fixed linear operator M of the full flags V_1 \subsetneq V_2 >... \subsetneq V_n in GL_n with M V_i contained in V_{i+1} for all i. In this paper I show that all Hessenberg varieties in type A_n and semisimple and regular nilpotent Hessenberg varieties in… 

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