On p-adic monodromy.
On places of algebraic function fields.
On ramification and genus of recursive towers.
On rational torsion points of central -curves
Let be a central -curve over a polyquadratic field . In this article we give an upper bound for prime divisors of the order of the -rational torsion subgroup (see Theorems 1.1 and 1.2). The notion of central -curves is a generalization of that of elliptic curves over . Our result is a generalization of Theorem 2 of Mazur [12], and it is a precision of the upper bounds of Merel [15] and Oesterlé [17].
On reduction of Hilbert-Blumenthal varieties
Let be the ring of integers of a totally real field of degree . We study the reduction of the moduli space of separably polarized abelian -varieties of dimension modulo for a fixed prime . The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by -types on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [J. Alg. Geom.,...
On relative canonical sheaves of arithmetic surfaces.
On simple Igusa local zeta functions.
On Some Arithmetic Properties of Odd Dimensional Complete Intersections
On some polynomials allegedly related to the abc conjecture
On square values of quadratics
On squares of squares II
On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.
On Stöhr-Voloch's proof of Weil's Theorem.
On subfields of
On supercuspidal families of curves on a surface in positive characteristic.
On systems of linear inequalities
We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems. The proof is based on a numerical criterion for a system of linear inequalities to be semi-stable.
On Teichmüller modular forms.
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the ?-adic representations associated to some simple Shimura varieties.
On the adjunction mapping for surfaces of Kodaira dimension ... 0 in Char.p.