5 papers
Essential p-dimension and Chern numbers
Olivier Haution
Let be a smooth, projective, geometrically connected variety over a field containing a root of unity of order . If has a Chern number prime to , we show that ever…
Dimension of fixed loci of diagonalizable groups via algebraic cobordism
Olivier Haution
We determine all restrictions on the dimension of the fixed locus of a diagonalizable group acting on a smooth projective variety that arise from the Chern numbers of the ambient v…
Actions of diagonalizable -groups and Chern numbers modulo
Olivier Haution
We obtain lower bounds for the dimension of fixed loci of diagonalizable -groups acting on smooth projective varieties. Those bounds depend on the modulo Chern numbers of th…
The geometric concentration theorem
Olivier Haution
We establish a purely geometric form of the concentration theorem (also called localization theorem) for actions of a linearly reductive group on an affine scheme over an a…
On the first Steenrod square for Chow groups
Olivier Haution
We construct a weak version of the homological first Steenrod square, a natural transformation from the modulo two Chow group to the Chow group modulo two and two-torsion. No assum…