6 papers · 1 filter
On the Beilinson-Hodge conjecture for and rational varieties
Andre Chatzistamatiou
The Beilinson-Hodge conjecture asserts the surjectivity of the cycle map $$H^n_M(X,\Q(n)) \to {\rm Hom}_{MHS}(\Q(-n),H^n(X,\Q))$$ for all positive integers and every smooth com…
Hodge-Witt cohomology and Witt-rational singularities
Andre Chatzistamatiou, Kay Rülling
We prove the vanishing modulo torsion of the higher direct images of the sheaf of Witt vectors (and the Witt canonical sheaf) for a purely inseparable projective alteration between…
First coniveau notch of the Dwork family and its mirror
Andre Chatzistamatiou
If is a smooth member of the Dwork family over a perfect field , and is its mirror variety, then the motives of and are equal up to motives that are in c…
Motives of hypersurfaces of very small degree
Andre Chatzistamatiou
We study the Chow motive (with rational coefficients) of a hypersurface X in the projective space by using the variety F(X) of l-dimensional planes contained in X. If the degree of…
Étale cohomology of the complement of a linear subspace arrangement
Andre Chatzistamatiou
We prove a formula for the cup product on the l-adic cohomology of the complement of a linear subspace arrangement.
Motivic cohomology of the complement of hyperplane arrangements
A. Chatzistamatiou
We give a presentation of the motivic cohomology ring of the complement of a hyperplane arrangement considered as algebra over the motivic cohomology of the ground field.