Note on a Carboniferous Genus

A note on Szpiro’s inequality for curves of higher genus

Let f : X→B be a semi-stable family of curves of genus g over a smooth projective curve B of genus γ over the complex numbers. Assume that the family is relatively minimal in that there are no (−1) curves contained in the fibers and that it is non-isotrivial. Let δ be the number of singular points in the fibers and s the number of singular fibers, i.e., the singular values of the map. A. Beauvi...

NEW SUBFAMLY, GENUS AND SPECIES OF LOWER CARBONIFEROUS RUGOSE CORALS FROM CENTRAL ALBORZ (N. IRAN)

Carboniferous strata in the Alborz mountains consist of calcareous rich fossils the main part of which is composed of rugose corals. There have been few studies carried out on corals so far. In this paper, a new subfamily, genus and eight new species of rugose corals from Mobarak limestones in the central Alborz mountains are introduced

A note on vague graphs

In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.

A note on lifting projections

Suppose $pi:mathcal{A}rightarrow mathcal{B}$ is a surjective unital $ast$-homomorphism between C*-algebras $mathcal{A}$ and $mathcal{B}$, and $0leq aleq1$ with $ain  mathcal{A}$. We give a sufficient condition that ensures there is a proection $pin mathcal{A}$ such that $pi left( pright) =pi left( aright) $. An easy consequence is a result of [L. G. Brown and G. k. Pedersen, C*-algebras of real...

A Note on Finsler Modules