Analytic mappings between two regularly branched three-sheeted algebroid surfaces
نویسندگان
چکیده
منابع مشابه
Dynamical systems on infinitely sheeted Riemann surfaces
This paper is part of a program that aims to understand the connection between the emergence of chaotic behaviour in dynamical systems in relation with the multi-valuedness of the solutions as functions of complex time τ . In this work we consider a family of systems whose solutions can be expressed as the inversion of a single hyperelliptic integral. The associated Riemann surface R → C = {τ} ...
متن کاملAnalytic Mappings between Noncommutative Pencil Balls
In this paper, we analyze problems involving matrix variables for which we use a noncommutative algebra setting. To be more specific, we use a class of functions (called NC analytic functions) defined by power series in noncommuting variables and evaluate these functions on sets of matrices of all dimensions; we call such situations dimension-free. These types of functions have recently been us...
متن کاملOn regularly bered complex surfaces
We show that a compact complex surface which bers smoothly over a curve of genus 2 with bers of genus 2 bers holomorphically. We deduce an improvement of a result in [16], and a characterisation of bered surfaces with zero signature. AMS Classi cation 14H15; 14J29, 20F34, 32L30, 57M50
متن کاملOn regularly fibered complex surfaces
We show that a compact complex surface which fibers smoothly over a curve of genus ≥ 2 with fibers of genus ≥ 2 fibers holomorphically. We deduce an improvement of a result in [16], and a characterisation of fibered surfaces with zero signature. AMS Classification 14H15; 14J29, 20F34, 32L30, 57M50
متن کاملAnalytic Transformations between Surfaces with Animations
The main purpose of our software is to visualise the classical results in differential geometry on PC screens, plotters, printers or any other postscript device, but it also has extensions to physics, chemistry, crystallography and the engineering sciences. To the best of our knowledge, no other comparable, comprehensive software of this kind is available. The software is open which means that ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1987
ISSN: 0040-8735
DOI: 10.2748/tmj/1178228280