On the pinned distances problem in positive characteristic

The accessory parameter problem in positive characteristic

We study the existence of Fuchsian differential equations in positive characteristic with nilpotent p-curvature, and given local invariants. In the case of differential equations with logarithmic local mononodromy, we determine the minimal possible degree of a polynomial solution. 2000 Mathematical Subject Classification: Primary 14D10, 12H20 This paper deals with second order differential equa...

On the Problem of Resolution of Singularities in Positive Characteristic

Introduction. The embedded resolution of singular algebraic varieties of dimension > 3 defined over fields of characteristic p > 0 is still an open problem. The inductive argument which works in characteristic zero fails for positive characteristic. The main obstruction is the failure of maximal contact, which, in turn, manifests in the occurence of wild singularities and kangaroo points at cer...

Analogues of Lehmer’s Problem in Positive Characteristic

Let C be a smooth projective irreducible curve defined over a finite field Fq and K = Fq(C). We show that every non-torsion element α ∈ K of degree d over K of a Drinfeld A-module φ defined over a finite extension L of K has canonical height ĥφ(α) at least c/d, where c is a constant depending only on φ. Similarly, if E/K is a non-constant elliptic curve defined over a function field K = l(C) of...

the impact of e-readiness on ec success in public sector in iran the impact of e-readiness on ec success in public sector in iran

acknowledge the importance of e-commerce to their countries and to survival of their businesses and in creating and encouraging an atmosphere for the wide adoption and success of e-commerce in the long term. the investment for implementing e-commerce in the public sector is one of the areas which is focused in government‘s action plan for cross-disciplinary it development and e-readiness in go...

On Stable Fields in Positive Characteristic