On the deformation theory of structure constants for associative algebras.
On the embedding dimension of an affine variety.
On the field of definition of superspecial polarized abelian varieties and type numbers
On the Finite Field Nullstellensatz for the intersection of two quadric hypersurfaces.
On the group of reduced identities of relatively free solvable groups.
On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the Homotopy Groups of Complex Projective Algebraic Manifolds.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field.
On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field (Correction).
On the motive of a quotient variety.
We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.
On the motive of an algebraic surface.
On the Noether exponent
We obtain, in a simple way, an estimate for the Noether exponent of an ideal I without embedded components (i.e. we estimate the smallest number μ such that ).
On the space of real algebraic morphisms
In this Note, we announce several results concerning basic properties of the spaces of morphisms between real algebraic varieties. Our results show a surprising intrinsic rigidity of Real Algebraic Geometry and illustrate the great distance which, in some sense, exists between this geometry and Real Nash one. Let us give an example of this rigidity. An affine real algebraic variety is rigid if, for each affine irreducible real algebraic variety , the set of all nonconstant regular morphisms from...
On the spectrum of a stable rank 3 reflexive sheaf on ...
On the trivialization of line bundles over schemes
On valuation spectra