This paper provides evidence for the Birch and Swinnerton-Dyer conjecture for analytic rank 0 abelian varieties Af that are optimal quotients of J0(N) attached to newforms. We prove theorems about the ratio L(Af , 1)/ΩAf , develop tools for computing with Af , and gather data about certain arithmetic invariants of the nearly 20, 000 abelian varieties Af of level ≤ 2333. Over half of these Af ha...

Mumford has constructed 4-dimensional abelian varieties with trivial endomorphism ring, but whose Mumford–Tate group is much smaller than the full symplectic group. We consider such an abelian variety, defined over a number field F , and study the associated p-adic Galois representation. For F sufficiently large, this representation can be lifted to Gm(Qp)× SL2(Qp) . Such liftings can be used t...

The results of a study of the surface relaxation of GaN in the framework of the ab initio ~all-electron! Hartree-Fock method are presented. We perform total-energy calculations using a two-dimensionally periodic slab model for the most stable nonpolar cleavage faces, namely, the ~101̄0! and ~110! surfaces of the wurtzite and zinc-blende phases, respectively. For both surfaces, when the energy is...

Liquid metal MHD (Magneto-Hydro-Dynamic) systems can be employed to produce electricity from a wide range of heat resources. In such a system, a low-boiling organic fluid and a high-temperature liquid metal fluid mix. The former evaporates, and carries the latter to flow through an MHD channel, where the electricity is generated. The mixing process and the gas-liquid flow characteristics will h...

OBJECTIVE To determine the pharmacokinetics of gallium maltolate (GaM) after intragastric administration in healthy foals. ANIMALS 6 healthy neonatal foals. PROCEDURES Each foal received GaM (20 mg/kg) by intragastric administration. Blood samples were obtained before (time 0) and at 0.25, 0.5, 1, 2, 4, 8, 12, 24, 36, and 48 hours after GaM administration for determination of serum gallium ...

We introduce a method to explicitly determine the Farrell–Tate cohomology of discrete groups. We apply this method to the Coxeter triangle and tetrahedral groups as well as to the Bianchi groups, i.e. PSL2(O) for O the ring of integers in an imaginary quadratic number field, and to their finite index subgroups. We show that the Farrell–Tate cohomology of the Bianchi groups is completely determi...

In this paper, we study deformations of pairs (C,G) where G is a (truncated) BarsottiTate group over a complete curve C on an algebraically closed field k of characteristic p. We prove that, if the curve C is a versal deformation of G, then there exists a unique lifting of the pair to the Witt ring W . We apply this result in the case of Shimura curves to obtain a lifting criterion. This result...

The Curie temperature T(C) of ferromagnetic semiconductor alloys depends not only on the alloy composition, but also on the spatial configuration of the magnetic impurities. Here we use a set of first-principle-calculated Curie temperatures to uncover-via a statistical, 'data mining' approach-the rules that govern the dependence of T(C) on the configuration of Mn substitutional impurities in Ga...

Spin injection from Fe(001) and (Ga,Mn)As(001) into n-GaAs(001) was investigated using a method which provides two-dimensional cross-sectional images of the spin polarization in GaAs. While the distribution of the spin polarization below the injecting contact is nearly uniform for (Ga,Mn)As, a strong confinement near the contact edge is observed for Fe and FeCo. The spin polarization in GaAs ch...

Let K be a global function field of characteristic p, with finite field of constants k (the algebraic closure of Fp in K) of size q, so K is the function field k(V ) of a unique smooth, proper, geometrically connected curve V over k. Let XK be a smooth proper geometrically connected curve over K, with genus g > 0. The Jacobian J = Pic0XK/K ofXK is an abelian variety overK with dimension g > 0. ...