Hessenberg varieties and hyperplane arrangements

DOI10.1515/crelle-2018-0039OpenAlexW2964090907WikidataQ128522223 ScholiaQ128522223MaRDI QIDQ782617

Tatsuya Horiguchi, Takuro Abe, Takashi Sato, Mikiya Masuda, Satoshi Murai

Publication date: 28 July 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00269

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Configurations and arrangements of linear subspaces (14N20)

Related Items (17)

Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Geometry of regular Hessenberg varieties ⋮ A positive formula for type a Peterson Schubert calculus ⋮ The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials ⋮ The poset of Specht ideals for hyperoctahedral groups ⋮ An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties ⋮ Fano and weak Fano Hessenberg varieties ⋮ Addition-deletion theorems for the Solomon-Terao polynomials and \(B\)-sequences of hyperplane arrangements ⋮ Toward cohomology rings of intersections of Peterson varieties and Richardson varieties ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Hessenberg varieties of parabolic type ⋮ The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope ⋮ A filtration on the cohomology rings of regular nilpotent Hessenberg varieties ⋮ Solomon-Terao algebra of hyperplane arrangements ⋮ A Saito criterion for holonomic divisors ⋮ The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A

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