The average distribution of cubic exponential sums.
The Betti numbers of the Hilbert scheme of ponts on a smooth projective surface.
The border cases of the lifting theorem for surfaces in P4.
The boundary of the Eisenstein symbol.
The boundary of the Eisenstein symbol (Erratum).
The Chern character for Lie-Rinehart algebras
Let be a commutative -algebra where is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a -connection. Our result generalizes the classical Chern character from the -theory of to the algebraic De Rham cohomology.
The Chow rings of smooth complete -embeddings
The Chow-Witt ring.
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.
The complete classification of compactifications of C³ which are projective manifolds with the second Betti number one.
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 cone of curves of a K3 surface.
The coniveau filtration and non-divisibility for algebraic cycles.
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.
The connection between the -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
The construction of weight-two arithmetic cohomology.
The cyclic homology and K-theory of curves.
The decomposition and specialization of algebraic families of vector bundles
The degrees of certain strata of the dual variety
The dimension of the Chow variety of curves