On the cohomology rings of Grassmann varieties and Hilbert schemes

2017/06/08 by Mahir Bilen Can, Can, Mahir Bilen, Jeff Remmel +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1706.02713

openalex publication_date 2017/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By using vector field techniques, we compute the ordinary and equivariant cohomology rings of Hilbert scheme of points in the projective plane in relation with that of a Grassmann variety.

Related

• Generators for the cohomology ring of Hilbert schemes of points on surfaces
• Ideals of the cohomology rings of Hilbert schemes and their applications
• Stability of the cohomology rings of Hilbert schemes of points on surfaces
• Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
• The cohomology rings of Hilbert schemes via Jack polynomials