In this paper, we investigate the relationship between the squared Weil/Tate pairing and the plain Weil/Tate pairing. Along these lines, we first show that the squared pairing for arbitrary chosen point can be transformed into a plain pairing for the trace zero point which has a special form to compute them more efficiently. This transformation requires only a cost of some Frobenius actions. Ad...

The Weil algebra of a semisimple Lie group and an exterior algebra of a symplectic manifold possess antibrackets. They are applied to formulate the models of non{abelian equivariant cohomologies. e-mail: [email protected]

In this paper we establish a Hasse principle concerning the linear dependence over Z of nontorsion points in the Mordell-Weil group of an abelian variety over a number field.

We develop an algorithm computing the transcendental lattice and the Mordell–Weil group of an extremal elliptic surface. As an example, we compute the lattices of four exponentially large series of surfaces

Acute and convalescent-phase sera obtained from 10 patients infected with a Japanese strain of spotted fever group (SFG) rickettsia were tested by the indirect immunoperoxidase test, the Weil-Felix test, an enzyme-linked immunosorbent assay (ELISA), and immunoblotting. By the Weil-Felix test, the reactivity of these sera to the OX2 antigen was higher than those to the OX19 antigen, as is the ca...