sporadic_checks_X0_X1.m: Knowing that there are finitely many N for which the modular curves X_1(N) and X_0(N) may not have a sporadic CM point, this code is for checking such N further to see if we ...

A curve X over Q is modular if it is dominated by X₁(N) for some N; if in addition the image of its jacobian in J₁(N) is contained in the new subvariety of J₁(N), then X is called a new modular curve.

Abstract: Let p be a prime. Tate and Voloch proved that a point of finite order in the algebraic torus cannot be p-adically too close to a fixed subvariety without lying on it. The current work is ...

Equipment Snapshot: Dorner’s newly redesigned AquaGard 7350 V2 Series is engineered for industry standards and excels at safety and performance. The AquaGard 7350 V2 is built for numerous sanitary ...