On a certain class of exponential sums.
On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic p.
On a noncommutative Iwasawa main conjecture for varieties over finite fields
We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for -adic Lie extensions of a separated scheme of finite type over a finite field of characteristic prime to .
On a stratification of the moduli of K3 surfaces
In this paper we give a characterization of the height of K3 surfaces in characteristic . This enables us to calculate the cycle classes in families of K3 surfaces of the loci where the height is at least . The formulas for such loci can be seen as generalizations of the famous formula of Deuring for the number of supersingular elliptic curves in characteristic . In order to describe the tangent spaces to these loci we study the first cohomology of higher closed forms.
On a theorem of Tate
We study applications of divisibility properties of recurrence sequences to Tate’s theory of abelian varieties over finite fields.
On an Analogue of the Sato Conjecture.
On Enriques Surfaces in Characteristic p. I.
On Enriques Surfaces in Characteristic p. II.
On Exponential Sums in Finite Fields, II.
On families of pure slope -functions.
On Hecke Polynomials.
On ramification and genus of recursive towers.
On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.
On Stöhr-Voloch's proof of Weil's Theorem.
On supercuspidal families of curves on a surface in positive characteristic.
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the adjunction mapping for surfaces of Kodaira dimension ... 0 in Char.p.
On the automorphisms of surfaces of general type in positive characteristic
Here we give an explicit polynomial bound (in term of and not depending on the prime ) for the order of the automorphism group of a minimal surface of general type defined over a field of characteristic .
On the automorphisms of surfaces of general type in positive characteristic, II
Here we give an upper polynomial bound (as function of but independent on ) for the order of a -subgroup of with minimal surface of general type defined over the field with . Then we discuss the non existence of similar bounds for the dimension as -vector space of the structural sheaf of the scheme .
On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field