Schubert complexes and degeneracy loci

DOI10.1016/j.jalgebra.2011.04.032zbMath1242.13017arXiv1006.5514OpenAlexW2000292151MaRDI QIDQ657977

Steven V. Sam

Publication date: 11 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5514

zbMATH Keywords

cohomology classesSchubert varietiescomplexesSchubert polynomialspolynomial functorsdegenearcy loci

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Kraśkiewicz-Pragacz modules and ringel duality ⋮ Codimension and connectedness of degeneracy loci over local rings ⋮ Derived supersymmetries of determinantal varieties ⋮ \(K\)-theoretic Chern class formulas for vexillary degeneracy loci ⋮ Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex

Cites Work

• Projective normality of flag varieties and Schubert varieties
• Gröbner geometry of Schubert polynomials
• Schur functors and Schur complexes
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Balanced labellings and Schubert polynomials
• A Pieri formula in the Grothendieck ring of a flag bundle
• Schubert functors and Schubert polynomials
• Resultants and Chow forms via exterior syzygies
• Symmetric polynomials and divided differences in formulas of intersection theory
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