Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies

DOI10.1007/s00029-018-0405-3zbMath1423.14282arXiv1612.08831OpenAlexW2561248006MaRDI QIDQ1652892

Lauren DeDieu, Megumi Harada, Federico Galetto, Hiraku Abe

Publication date: 16 July 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08831

zbMATH Keywords

Schubert varietiesdegreeflag varietiesHessenberg varietiesPeterson varietiesNewton-Okounkov bodieslocal complete intersectionsflat families

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Complete intersections (14M10)

Related Items

Hessenberg varieties, Slodowy slices, and integrable systems ⋮ Geometry of regular Hessenberg varieties ⋮ Hessenberg varieties and Poisson slices ⋮ Gröbner geometry for regular nilpotent Hessenberg Schubert cells ⋮ A Survey of Recent Developments on Hessenberg Varieties ⋮ The singular locus of semisimple Hessenberg varieties ⋮ The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope ⋮ A formula for the cohomology and \(K\)-class of a regular Hessenberg variety ⋮ Hessenberg varieties and hyperplane arrangements

Uses Software

• Macaulay2

Cites Work

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