Hessenberg Varieties
From MaRDI portal
Publication:4018914
DOI10.2307/2154181zbMath0770.14022OpenAlexW4230164715MaRDI QIDQ4018914
Claudio Procesi, Mark A. Shayman, Filippo de Mari
Publication date: 16 January 1993
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2154181
Grassmannians, Schubert varieties, flag manifolds (14M15) Homogeneous complex manifolds (32M10) Topological properties in algebraic geometry (14F45)
Related Items (52)
Chromatic quasisymmetric functions ⋮ A combinatorial expansion of vertical-strip LLT polynomials in the basis of elementary symmetric functions ⋮ The equivariant cohomology ring of regular varieties ⋮ Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Intersection theory of the Peterson variety and certain singularities of Schubert varieties ⋮ Hessenberg varieties associated to ad-nilpotent ideals ⋮ Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies ⋮ Rigid two-step nilpotent Lie groups relative to multicontact structures ⋮ On the cohomology of Fano varieties and the Springer correspondence ⋮ Affine pavings of Hessenberg varieties for semisimple groups ⋮ Geometry of regular Hessenberg varieties ⋮ Torus actions, localization and induced representations on cohomology ⋮ Euphotic representations and rigid automorphic data ⋮ Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties ⋮ The partial compactification of the universal centralizer ⋮ Patch ideals and Peterson varieties ⋮ Hessenberg varieties and Poisson slices ⋮ The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials ⋮ Generalizing Tanisaki's ideal via ideals of truncated symmetric functions ⋮ An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties ⋮ Fano and weak Fano Hessenberg varieties ⋮ Torus fixed point sets of Hessenberg Schubert varieties in regular semisimple Hessenberg varieties ⋮ Gröbner geometry for regular nilpotent Hessenberg Schubert cells ⋮ Poset pinball, the dimension pair algorithm, and type \(A\) regular nilpotent Hessenberg varieties ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ Hessenberg varieties of parabolic type ⋮ The singular locus of semisimple Hessenberg varieties ⋮ Schubert polynomials and classes of Hessenberg varieties ⋮ Purity of equivalued affine Springer fibers ⋮ Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties ⋮ The Betti numbers of regular Hessenberg varieties are palindromic ⋮ The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope ⋮ The Containment Poset of Type $A$ Hessenberg Varieties ⋮ A filtration on the cohomology rings of regular nilpotent Hessenberg varieties ⋮ The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture ⋮ Exponents for 𝐵-stable ideals ⋮ A formula for the cohomology and \(K\)-class of a regular Hessenberg variety ⋮ Solomon-Terao algebra of hyperplane arrangements ⋮ Finite-dimensional representations of DAHA and affine Springer fibers: the spherical case. ⋮ The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture ⋮ The distribution of descents in fixed conjugacy classes of the symmetric groups ⋮ Hessenberg varieties and hyperplane arrangements ⋮ Borel subgroups adapted to nilpotent elements of standard Levi type ⋮ Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties ⋮ The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A ⋮ Toda flows and real Hessenberg manifolds ⋮ Descent identities, Hessenberg varieties, and the Weil conjectures ⋮ The second cohomology of regular semisimple Hessenberg varieties from GKM theory ⋮ Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers ⋮ Toric surfaces with reflection symmetries ⋮ The connectedness of Hessenberg varieties ⋮ A new graph invariant arises in toric topology
This page was built for publication: Hessenberg Varieties