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math.AG2022★ 1 cited
Hessenberg varieties of codimension one in the flag variety
Laura Escobar, Martha Precup, John Shareshian
We study geometric and topological properties of Hessenberg varieties of codimension one in the type A flag variety. Our main results: (1) give a formula for the Poincaré polynomia…
math.RT2022★ 1 cited
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law
Martha Precup, Eric Sommers
We consider generalizations of the Springer resolution of the nilpotent cone of a simple Lie algebra by replacing the cotangent bundle with certain other vector bundles over the fl…