Some time ago1, it has been suggested that a pomeron model la Donnachie-Landshoff2, where the leading singularity in the complex j plane is given by a simple pole, could not provide the best fits to the data for total cross sections, and for the ratio ρ of the real to the imaginary part of the forward elastic scattering amplitude. This conclusion was based on an analysis of all available data a...

1 Plane Curves 2 1.1 Computation of Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Expansion at Simple Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.2 Expansion at Singular Points . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1.3 Newton Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1.4 Local...

We obtain inverse factorial-series solutions of second-order linear difference equations with a singularity of rank one at infinity. It is shown that the Borel plane of these series is relatively simple, and that in certain cases the asymptotic expansions incorporate simple resurgence properties. Two examples are included. The second example is the large a asymptotics of the hypergeometric func...

In continuing joint work with Walter Neumann, we consider the relationship between three different points of view in describing a (germ of a) complex normal surface singularity. The explicit equations of a singularity allow one to talk about hypersurfaces, complete intersections, weighted homogeneity, Hilbert function, etc. The geometry of the singularity could involve analytic aspects of a goo...

We present a new non-diagonal G2 inhomogeneous perfect-fluid solution with barotropic equation of state p = ρ and positive density everywhere. It satisfies the global hyperbolicity condition and has no curvature singularity anywhere. This solution is very simple in form and has two arbitrary constants. PACS Numbers: 04.20-Jb; 04.20-Cv; 98.80-Dr. The study of exact inhomogeneous cosmological mod...

We present a consistent string theory model which reproduces the Standard Model, consisting of aD3-brane at a simple orbifold singularity. We study some simple features of the phenomenology of the model. We find that the scale of stringy physics must be in the multi-TeV range. There are natural hierarchies in the fermion spectrum and there are several possible experimental signatures of the mod...

In this paper we give a classification of simple stable singularities of Lagrange projections of the first open Whitney umbrella, the simplest singularity of Lagrange varieties. Our classification extends the ADE-classification, due to Arnold, of simple stable singularities of Lagrange projections of smooth Lagrange submanifolds. We also prove a criterion of equivalence of stable Lagrange proje...