4 papers
math.AG2008
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…
math.AG2008
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…
math.AG2007
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.
math.AG2006
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.