Archives are invaluable resources for those interested in understanding past activities and events. What makes archival collections valuable as evidence is that they are organized in a way that connects the materials to their creator(s), their associated activities, and recordkeeping systems. In order to create this organization archivists engage in a complex process that involves arranging mat...

Consider the following question. Given a suitable linear series L on a smooth surface S, how many curves in L have a given analytic or topological type of singularity? By “suitable” linear series with respect to a type of singularity, we mean that there are finitely many curves with the singularity in the linear series and their codimension is maximal. Our approach to this question is to expres...

String propagation on a three-dimensional Lorentzian string orbifold with a null singularity has been studied by Horowitz and Steif, and more recently by Liu, Moore and Seiberg. We analyze the target space as a classical gravitational background. The singularity becomes spacelike when an arbitrarily small amount of matter is thrown at the singularity. This can be seen directly by constructing a...

We review a dynamical dark energy model scarcely studied in the literature and we introduce two possible generalizations. discuss separately behavior of original minimal extension it by exploring some early late times limits, find that cosmic components are related their parameters state. In order to have access phantom regime present densities inspired from holographic approach emergent entrop...