On the motive of the Hilbert scheme of points on a surface.
From MaRDI portal
Publication:1598396
DOI10.4310/MRL.2001.v8.n5.a3zbMath1079.14500arXivmath/0007043OpenAlexW2150418852MaRDI QIDQ1598396
Publication date: 2001
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0007043
Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42)
Related Items
Vanishing of Chern Classes of the De Rham Bundles for Some Families of Moduli Spaces ⋮ Rationality of motivic zeta functions for curves with finite abelian group actions ⋮ On the power structure over the Grothendieck ring of varieties and its applications ⋮ Exponentiation of motivic measures ⋮ Counting polynomials over finite fields with given root multiplicities ⋮ Symmetric powers do not stabilize ⋮ The stable cohomology of moduli spaces of sheaves on surfaces ⋮ Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points ⋮ Generating series of classes of Hilbert schemes of points on orbifolds ⋮ Motivic classes of commuting varieties via power structures ⋮ Irrationality of motivic zeta functions ⋮ Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures) ⋮ Mutually annihilating matrices, and a Cohen-Lenstra series for the nodal singularity ⋮ MOTIVIC HILBERT ZETA FUNCTIONS OF CURVES ARE RATIONAL ⋮ On the motivic class of the moduli stack of twisted \(G\)-covers ⋮ Hilbert squares of degeneracy loci ⋮ Motivic degree zero Donaldson-Thomas invariants ⋮ On the motive of the Quot scheme of finite quotients of a locally free sheaf ⋮ Reduced Donaldson-Thomas invariants and the ring of dual numbers ⋮ A note of functional equations for zeta functions with values in Chow motives ⋮ On the motives of moduli of chains and Higgs bundles ⋮ Power structure over the Grothendieck ring of maps ⋮ The quotient map on the equivariant Grothendieck ring of varieties ⋮ On coherent sheaves of small length on the affine plane ⋮ Motivic classes of generalized Kummer schemes via relative power structures ⋮ Produit eulérien motivique et courbes rationnelles sur les variétés toriques ⋮ Motivic virtual signed Euler characteristics and their applications to Vafa-Witten invariants ⋮ Discriminants in the Grothendieck ring
