Periodic Points for Good Reduction Maps on Curves *
نویسندگان
چکیده
The periodic points of a morphism of good reduction for a smooth projective curve with good reduction over Q p form a discrete set. This is used to give an interpretation of the morphic height in terms of asymptotic properties of periodic points, and a morphic analogue of Jensen's formula.
منابع مشابه
Nowhere Differentiable Curves
We consider a family of smooth maps on an infinite cylinder which have invariant curves that are nowhere smooth. Most points on such a curve are buried deep within its spiked structure, and the outermost exposed points of the curve constitute an invariant subset which we call the "facade" of the curve. We find that for surprisingly many of the maps in the family, all points in the facades of th...
متن کاملLocating periodic orbits by Topological Degree theory
We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of fixed points of the map provided that the integration step is small ''enough''. Since in any neighborhood of a fixed point the map gets four different combination of its algebraic signs we use points on a lattice to ...
متن کاملNumerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
We discuss new and improved algorithms for the bifurcation analysis of fixed points and periodic orbits (cycles) of maps and their implementation in matcont, a matlab toolbox for continuation and bifurcation analysis of dynamical systems. This includes the numerical continuation of fixed points of iterates of the map with one control parameter, detecting and locating their bifurcation points (i...
متن کامل2 3 Ja n 20 08 Good Reduction of Periodic Points
We consider the dynamical system created by iterating a morphism of a projective variety over the field of fractions of a discrete valuation ring. In the case of good reduction, we study the primitive period of a periodic point on the residue field. We start by defining good reduction, examine the behavior of primitive periods under good reduction, and end with an application to programmaticall...
متن کاملImpeller and volute design and optimization of the centrifugal pump with low specific speed in order to extract performance curves
Now a day centrifugal pumps are vital components of industries. Certainly, one of the most important specifications of centrifugal pumps are the performance curves. In the present work, performance curves of a centrifugal pumps are obtained by Computational fluid dynamics (CFD) and as an outcome, CFD results compare by practical curves. At the first step impeller and volute are designed with tw...
متن کامل