scholarly journals A topological join construction and the Toda system on compact surfaces of arbitrary genus

2015 ◽  
Vol 8 (8) ◽  
pp. 1963-2027 ◽  
Author(s):  
Aleks Jevnikar ◽  
Sadok Kallel ◽  
Andrea Malchiodi
Keyword(s):  
Toda System ◽  
Arbitrary Genus ◽  
Compact Surfaces ◽  
Join Construction

scholarly journals A general existence result for the Toda system on compact surfaces

2015 ◽  
Vol 285 ◽  
pp. 937-979 ◽  
Author(s):  
Luca Battaglia ◽  
Aleks Jevnikar ◽  
Andrea Malchiodi ◽  
David Ruiz
Keyword(s):  
Existence Result ◽  
Toda System ◽  
General Existence ◽  
Compact Surfaces

scholarly journals Mazur’s rational torsion result for pointless genus one curves: examples

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Arjan Dwarshuis ◽  
Majken Roelfszema ◽  
Jaap Top
Keyword(s):  
Algebraic Geometry ◽  
Elliptic Curves ◽  
Rational Point ◽  
Torsion Points ◽  
Arbitrary Genus ◽  
Mazur’S Theorem ◽  
Genus One

AbstractThis note reformulates Mazur’s result on the possible orders of rational torsion points on elliptic curves over $$\mathbb {Q}$$ Q in a way that makes sense for arbitrary genus one curves, regardless whether or not the curve contains a rational point. The main result is that explicit examples are provided of ‘pointless’ genus one curves over $$\mathbb {Q}$$ Q corresponding to the torsion orders 7, 8, 9, 10, 12 (and hence, all possibilities) occurring in Mazur’s theorem. In fact three distinct methods are proposed for constructing such examples, each involving different in our opinion quite nice ideas from the arithmetic of elliptic curves or from algebraic geometry.

Unified Approach to Stabilization of Waves on Compact Surfaces by Simultaneous Interior and Boundary Feedbacks of Unrestricted Growth

2013 ◽  
Vol 69 (1) ◽  
pp. 83-122 ◽  
Author(s):  
Marcelo M. Cavalcanti ◽  
Valéria N. Domingos Cavalcanti ◽  
Ryuichi Fukuoka ◽  
Daniel Toundykov
Keyword(s):  
Unified Approach ◽  
Compact Surfaces

Tadpole operator for minimal models on arbitrary genus Riemann surfaces

1990 ◽  
Vol 237 (3-4) ◽  
pp. 379-385 ◽  
Author(s):  
G. Cristofano ◽  
G. Maiella ◽  
R. Musto ◽  
F. Nicodemi
Keyword(s):  
Riemann Surfaces ◽  
Minimal Models ◽  
Arbitrary Genus

scholarly journals Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

2006 ◽  
Vol 59 (4) ◽  
pp. 526-558 ◽  
Author(s):  
Jürgen Jost ◽  
Changshou Lin ◽  
Guofang Wang
Keyword(s):  
Existence Of Solutions ◽  
Toda System
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