Results 31 to 40 of about 667 (60)
A new family of elliptic curves with positive ranks arising from the Heron triangles [PDF]
, 2010 The aim of this paper is to introduce a new family of elliptic curves with positive ranks. These elliptic curves have been constructed with certain rational numbers, namely a, b, and c as sides of Heron triangles having rational areas $k$.
Izadi, F. A. +2 more
core
Heuristics for the Brauer-Manin obstruction for curves
, 2005 We conjecture that if C is a curve of genus >1 over a number field k such that C(k) is empty, then a method of Scharaschkin (equivalent to the Brauer-Manin obstruction in the context of curves) supplies a proof that C(k) is empty. As evidence, we prove a
Poonen, Bjorn
core +1 more source
The groups of points on abelian varieties over finite fields
Open Mathematics, 2010 Rybakov Sergey
doaj +1 more source
HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]
Rocky Mt J Math, 2017 Izadi F, Khoshnam F, Moody D.
europepmc +1 more source
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Open Mathematics, 2014 Bandman Tatiana +2 more
doaj +1 more source
Lagrangian 4-planes in holomorphic symplectic varieties of K3[4]-type
Open Mathematics, 2014 Bakker Benjamin, Jorza Andrei
doaj +1 more source
Quartic del Pezzo surfaces over function fields of curves
Open Mathematics, 2014 Hassett Brendan, Tschinkel Yuri
doaj +1 more source
Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Res Number TheoryAlaa Tawfik M, Newton R.
europepmc +1 more source
Density of rational points on some quadric bundle threefolds. [PDF]
Math AnnBonolis D, Browning T, Huang Z.
europepmc +1 more source