A Cancellation Theorem for Projective Modules in the Metastable Range.
A cartesian closed extension of a category of affine schemes
A criterion for detecting m-regularity.
A criterion for extending meromorphic functions.
A Fixed Point Formula for Action of Tori on Algebraic Varieties.
A Gauss-Bonnet theorem for motivic cohomology.
A generalisation of the Cassel-Tate pairing.
A Generalization of Kodaira's Embedding Theorem.
A genericity theorem for algebraic stacks and essential dimension of hypersurfaces
We compute the essential dimension of the functors Forms and Hypersurf of equivalence classes of homogeneous polynomials in variables and hypersurfaces in , respectively, over any base field of characteristic . Here two polynomials (or hypersurfaces) over are considered equivalent if they are related by a linear change of coordinates with coefficients in . Our proof is based on a new Genericity Theorem for algebraic stacks, which is of independent interest. As another application of the...
A Lefschetz decomposition for Chow motives of abelian schemes.
A Note on Geometric Degree of Finite Extensions of Mappings from a Smooth Variety
A note on indecomposable motivic cohomology classes.
A note on tangent bundles in a category with a ring object.
A note on the base change map for cohomology
A note on the unramified Brauer group and purity.
A Nullstellensatz and a Positivstellensatz in Semialgebraic Geometry.
A problem on coefficient fields and equations over local rings
A result on -flats in
A Riemann-Roch theorem for dg algebras
Given a smooth proper dg algebra , a perfect dg -module and an endomorphism of , we define the Hochschild class of the pair with values in the Hochschild homology of the algebra . Our main result is a Riemann-Roch type formula involving the convolution of two such Hochschild classes.
A spectral sequence for de Rham cohomology