We study the cohomology of Jacobians and Hilbert schemes of points on reduced and
locally planar curves, which are however allowed to be singular and reducible. We show …

We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a
curve from smooth curves to curves with planar singularities: we relate the cohomology of …

Let C be a proper, integral, locally planar curve, and consider its Hilbert schemes of points C
[n]. We define four creation/annihilation operators acting on the rational homology groups of …

Hecke correspondences for Hilbert schemes of reducible locally planar curves Page 1
Algebraic Geometry 6 (5) (2019) 530–547 doi:10.14231/AG-2019-024 Hecke …

Consider a family of integral complex locally planar curves whose relative Hilbert scheme of
points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts …

A classical example of Mumford gives a generically non‐reduced component of the Hilbert
scheme of smooth curves in such that a general element of the component is contained in a …

Let X be a curve in P3, ie a closed one-dimensional and equidimensional, locally Cohen-
Macaulay subscheme of P'. We say that X is non-obstructed if the corresponding point of the …

This article continues the development, begun in [2],[4],[3],[5] and [14], of a theory of the
compactified Jacobian that is modeled and based on Grothendieck's theory of the Picard …

We take a new look at the curvilinear Hilbert scheme of points on a smooth projective variety
X as a projective completion of the nonreductive quotient of holomorphic map germs from …

Let C be an integral projective curve with planar singularities. Consider its Jacobian J and
the compactified Jacobian J'. We construct a flat family P of Cohen-Macaulay sheaves on …