We find identities between theta constants with rational characteristics evaluated at period matrix of R, a cyclic 3 sheeted cover of the sphere with 3k branch points λ1...λ3k. These identities follow from Thomae formula [BR]. This formula expresses powers of theta constants as polynomials in λ1...λ3k. We apply the representation of the symmetric group to find relations between the polynomials ...

It is shown that a two-brane world made of two domain walls can be seen as a noncommutative two-sheeted spacetime under certain assumptions. This equivalence implies a model-independent phenomenology: Matter swapping between the two 3-branes (or sheets) is predicted through fermionic oscillations induced by magnetic vector potentials. This phenomenon, which might be experimentally studied, coul...

We classify all functions satisfying non-trivial families of PVIα equations. It turns out that all of these 23 solutions are of geometric origin: they are related to deformations of elliptic surfaces as proved earlier by Doran. Similarly, we prove that the same solutions can be obtained from deformations of three-sheeted covers of P1 with branching locus consisting of four points. e-mail: basse...

A-patches[BCX94a] are implicit surfaces in Bernstein-Bezier(BB) form that are smooth and single-sheeted. In this paper, we present algorithms to utilize the extra degrees of freedom of these patches for local shape co·ntrol. A ray shooting scheme is also given to rapidly generate polygonal approximations of A-patches for graphic display. A distributed implementation of this scheme gives near "r...

INTRODUCTION Large-scale coastal development for land reclamation has been carried out on the Saemangeum coast of the southwestern part of the Korean peninsula by constructing a 33 km-long sea dike since 1991. This type of construction has an effect upon both the coastal morphology and tidal systems. After construction of the dike, changes in both tides and tidal currents have occured. The weak...

Moses Rock dike is a Tertiary diatreme containing serpentinized ultramafic microbreccia (SUM) located on the Colorado Plateau in Utah. Field evidence indicates that SUM was emplaced first followed by breccias derived from the Permian strata exposed in the walls of the diatreme and finally by complex breccias containing basement and mantle-derived rocks. SUM is primarily found dispersed througho...

Article history: Received 23 September 2016 Received in revised form 31 January 2017 Accepted 7 February 2017 Available online 9 February 2017 Volcanic eruptions on theMoon take place in conditions of low gravity and negligible atmospheric pressure, very different from those on Earth. These differences lead to characteristic lunar versions of hawaiian and strombolian explosive activity, and to ...