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Euler Characteristics of Tautological Sheaves on Hilbert Schemes of Points
Euler Characteristics Tautological Sheaveas Hilbert Schemes of Points
2015/3/24
Professor Chern recruited geometers, physicists and combinatorists to work at Nankai Institute of Mathematics (now Chern Institute of Mathematics).
Characteristic classes of Hilbert schemes of points via symmetric products
Hilbert scheme symmetric product generating series power structure Pontrjagin ring motivic exponentiation characteristic classes
2012/4/18
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quas...
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Exchange perverse weight filtration Hilbert schemes points of two surfaces
2011/1/21
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bun...
The classes of the quasihomogeneous Hilbert schemes of points on the plane
the quasihomogeneous Hilbert schemes math
2010/11/23
In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of $(1,k)$-quasi-homogeneous Hilbert schemes of points on th...
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
Hilbert schemes of points locally planar curve Severi strata of its versal deformation
2010/11/30
Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central
point are determ...
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Hilbert schemes projective surfaces Gromov-Witten invariants
2010/3/1
We compute certain 1-point genus-0 Gromov-Witten invariants of the Hilbert scheme of points on a simply-connected smooth projective surface.