A Rigid Analytical Regulator for the K2 of Mumford Curves
نویسندگان
چکیده
We construct a rigid analytical regulator for the K2 of Mumford curves, a non-archimedean analogue of the complex analytical Beilinson-Bloch-Deligne regulator.
منابع مشابه
The Rigid Analytical Regulator and K2 of Drinfeld Modular Curves
We evaluate a rigid analytical analogue of the Beilinson-Bloch-Deligne regulator on certain explicit elements in the K2 of Drinfeld modular curves, constructed from analogues of modular units, and relate its value to special values of L-series using the Rankin-Selberg method.
متن کاملOn the Kernel and the Image of the Rigid Analytic Regulator in Positive Characteristic
We will formulate and prove a certain reciprocity law relating certain residues of the differential symbol dlog2 from the K2 of a Mumford curve to the rigid analytic regulator constructed by the author in a previous paper. We will use this result to deduce some consequences on the kernel and image of the rigid analytic regulator analogous to some old conjectures of Beilinson and Bloch on the co...
متن کاملOn Abelian Automorphism Groups of Mumford Curves
We use rigid analytic uniformization by Schottky groups to give a bound for the order of the abelian subgroups of the automorphism group of a Mumford curve in terms of its genus.
متن کاملOn Representations Attached to Semistable Vector Bundles on Mumford Curves
Introduction 1 1. Preliminaries 4 1.1. Notations and conventions 4 1.2. Reduction and formal rigid spaces 5 1.3. GAGA-results 8 1.4. Fundamental groups of analytic manifolds 14 1.5. Mumford curves 20 2. Representations attached to vector bundles 23 2.1. A review of the constructions 23 2.2. Comparison of the constructions 31 3. Applications 38 3.1. Fundamental groups of a Tate curve 39 3.2. Vec...
متن کاملAn Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams
In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta m...
متن کامل