On the -conjecture
On the non-triviality of the Griffith group.
On the Normal Bundles of Rational Space Curves.
On the spannedness of adjunction of vector bundles.
On the Structure of the Birational Abel Morphism.
On the tautological ring of Mg.
On the Varieties Parametrizing Rational Space Curves with Fixed Normal Bundle.
Orbifold-Hodge numbers of Hilbert schemes
Orbifolds and finite group representations.
Order of torsion in of quadrics.
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surface.
Platitude et non-platitude de certains sous-schémas de Hilb k PN.
Plücker conditions on plane rational curves.
Points rationnels des courbes génériques de . I
Points rationnels des courbes génériques de . II
Product formulas for resultants and Chow forms.
Products in K-theory and Intersecting Algebraic Cycles.
Projective Stability of Ruled Surfaces.
Punctual Hilbert schemes and resolutions of multiple point singularities.
Quotients of an affine variety by an action of a torus
Let X be an affine T-variety. We study two different quotients for the action of T on X: the toric Chow quotient X/C T and the toric Hilbert scheme H. We introduce a notion of the main component H 0 of H, which parameterizes general T-orbit closures in X and their flat limits. The main component U 0 of the universal family U over H is a preimage of H 0. We define an analogue of a universal family WX over the main component of X/C T. We show that the toric Chow morphism restricted on the main components...