The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.
The cohomology rings of moduli stacks of principal bundles over curves.
The cokernel of the operator acting on a -module, II
The compactified Jacobian
The complete classification of compactifications of C³ which are projective manifolds with the second Betti number one.
The Complete Classification of Fibres in Pencils of Curves of Genus Two.
The complex geometry of an integrable system
In this paper, a finite dimensional algebraic completely integrable system is considered. We show that the intersection of levels of integrals completes into an abelian surface (a two dimensional complex algebraic torus) of polarization and that the flow of the system can be linearized on it.
The complex separation of real surfaces and extensions of Rokhlin congruence.
The complex structure on a connected sum of S³ x S³ with trivial canonical bundle.
The computation of Stiefel-Whitney classes
The cohomology ring of a finite group, with coefficients in a finite field, can be computed by a machine, as Carlson has showed. Here “compute” means to find a presentation in terms of generators and relations, and involves only the underlying (graded) ring. We propose a method to determine some of the extra structure: namely, Stiefel-Whitney classes and Steenrod operations. The calculations are explicitly carried out for about one hundred groups (the results can be consulted on the Internet).Next,...
The concept of (ν)-equivalence in algebraic deformation theory
The conductor of an abelian variety
The Conductor of one-dimensional Gorenstein Rings in their blowing-up.
The cone of curves of a K3 surface.
The Congruences of Clausen- von Staudt and Kummer for Bernoulli-Hurwitz Numbers.
The coniveau filtration and non-divisibility for algebraic cycles.
The conjecture of Langlands and Rapoport for certain Shimura varieties of non-rational weight.
The connectedness of degeneracy loci
The connectedness of symmetric degeneracy loci: odd ranks. Appendix to "The connectedness of degeneracy loci" by L. W. Tu
The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crowley-Boevey, and Grothendieck's Riemannian-Roch and duality theorems.