Algebraic cycles, Chow varieties, and Lawson homology
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
Algebraic cycles on generic abelian varieties
Algébricité de l'espace de feulletages d'un espace analytique compact.
Ample Vector Bundles, Chern Classes, and Numerical Criteria.
An example of an asymptotically Chow unstable manifold with constant scalar curvature
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group is discrete, is asymptotically Chow stable. In this paper, we shall show an example which implies that the above result does not hold in the case where is not discrete.
An improved bound for the degree of smooth surfaces in not of general type
Appendix to "Plücker conditions on plane rational curves": Families of rational plane curves.
Arakelov Chow groups of abelian schemes, arithmetic Fourier transform, and analogues of the standard conjectures of Lefschetz type.
Bases for the homology groups of the Hilbert scheme of points in the plane
Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.
We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.
Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables.
Birational Properties of Moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces.
Boundedness for threefolds in P6 containing a smooth ruled surface as hyperplane section.
Let X ⊂ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant β such that for all X containing a smooth ruled surface as hyperplane section and not contained in a fourfold of degree less than or equal to 15, d ≤ β. Under some more restrictive hypothesis we prove an analogous result for threefolds containing a smooth ruled surface as hyperplane section and contained in a fourfold of degree less than or equal to 15.
Castelnuovo Curves and Unobstructed Deformations.
Chow categories
Chow groups with coefficients.
Chow Motif and Higher Chow Theory of G/P.
Chow ring of projective nonsingular torus embedding
Codimension Arithmetically Gorenstein Subschemes of projective -space
We study the lowest dimensional open case of the question whether every arithmetically Cohen–Macaulay subscheme of is glicci, that is, whether every zero-scheme in is glicci. We show that a general set of points in admits no strictly descending Gorenstein liaison or biliaison. In order to prove this theorem, we establish a number of important results about arithmetically Gorenstein zero-schemes in .