Schottky algorithms: Classical meets tropical
نویسندگان
چکیده
منابع مشابه
Uniformization by Classical Schottky Groups
Koebe’s Retrosection Theorem [8] states that every closed Riemann surface can be uniformized by a Schottky group. In [10] Marden showed that non-classical Schottky groups exist, and a first explicit example of a non-classical Schottky group was given by Yamamoto in [14]. Work on Schottky uniformizations of surfaces with certain symmetry has been done by people such as Hidalgo [7]. The natural q...
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Not all Schottky groups of Möbius transformations are classical Schottky groups. In this paper we show that all Fuchsian Schottky groups are classical Schottky groups, but not necessarily on the same set of generators. AMS Classification 20H10; 30F35, 30F40
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In [15], Greg McShane demonstrated a remarkable identity for the lengths of simple closed geodesics on cusped hyperbolic surfaces. This was generalized by the authors in [19] to hyperbolic cone-surfaces, possibly with cusps and/or geodesic boundary. In this paper, we generalize the identity further to the case of classical Schottky groups. As a consequence, we obtain some surprising new identit...
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On a single ZnO nanowire (NW), we fabricated an inverter-type device comprising a Schottky diode (SD) and field-effect transistor (FET), aiming at 1-dimensional (1D) electronic circuits with low power consumption. The SD and adjacent FET worked respectively as the load and driver, so that voltage signals could be easily extracted as the output. In addition, NW FET with a transparent conducting ...
متن کاملClassical Schottky Uniformizations of Genus 2 A Package for Mathematica
The general theory of Riemann surfaces asserts that a closed Riemann surface S of genus g > 2 may be seen as (i) the quotient by a Kleinian group G or (ii) a plane algebraic curve C (possible with singularities) or (iii) a symmetric complex g× g matrix Z with positive imaginary part (a Riemann period matrix). Numerical uniformization problem ask for numerical relations between these objects for...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2018
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3406