The regularity of almost-commuting partial Grothendieck--Springer resolutions and parabolic analogs of Calogero--Moser varieties

zbMath1469.14100arXiv1812.02283MaRDI QIDQ5858410

Travis Scrimshaw, Mee Seong Im

Publication date: 13 April 2021

Full work available at URL: https://arxiv.org/abs/1812.02283

zbMATH Keywords

complete intersectionmoment mapGrothendieck-Springer resolution

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Complete intersections (14M10) Momentum maps; symplectic reduction (53D20) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Coadjoint orbits; nilpotent varieties (17B08)

Uses Software

• SageMath

Cites Work

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• A functor-valued invariant of tangles
• On the Springer resolution of the minimal unipotent conjugacy class
• Three integrable Hamiltonian systems connected with isospectral deformations
• On the desingularization of the unipotent variety
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• The regular semisimple locus of the affine quotient of the cotangent bundle of the Grothendieck-Springer resolution
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Almost-commuting variety, D-modules, and Cherednik algebras
• Representation Theory and Complex Geometry
• Hamiltonian group actions and dynamical systems of calogero type
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES