Poincare polynomials of hyperquot schemes

2000/03/14 by Linda Chen, Chen, Linda
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #math.AG

paper · pdf · doi:10.48550/arxiv.math/0003077

16 pages, LaTeX

arxiv created 2000/03/14 · arxiv updated 2009/11/30

Abstract

Hyperquot schemes are generalizations of Grothendieck's Quot scheme to partial flags. Using a Bialynicki-Birula decomposition, we obtain combinatorial data for the Betti numbers, and collect this information into the form of rational generating functions for the Poincare polynomials.

Related

• Derived hyperquot schemes
• Intersection Theory of Hyperquot Schemes on curves
• Flag Hilbert-Poincar 'e series of hyperplane arrangements and their\n Igusa zeta functions
• Topology of Z₃ equivariant Hilbert schemes
• Betti numbers of GIT quotients of products of projective planes