In this paper, we introduce and study two new types of non-abelian zeta functions for curves over finite fields, which are defined by using (moduli spaces of) semi-stable vector bundles and non-stable bundles. A Riemann-Weil type hypothesis is formulated for zeta functions associated to semi-stable bundles, which we think is more canonical than the other one. All this is motivated by (and hence...

We introduce a notion of visibility for Mordell-Weil groups, make a conjecture about visibility, and support it with theoretical evidence and data. These results shed new light on relations between Mordell-Weil and Shafarevich-Tate groups. 11G05, 11G10, 11G18, 11Y40

Vincendon 1 , Y. Langevin 1 , F. Poulet 1 , A. Pommerol 2 , M. J. Wolff 3 , J-P. Bibring 1 , B. Gondet 1 , D. Jouglet 1 , and the OMEGA team, 1 Institut d’Astrophysique Spatiale, CNRS/Université Paris Sud, Orsay, France ([email protected]), 2 Laboratoire de Planétologie de Grenoble, UJF/CNRS, Bât. D de Physique, B.P. 53, 38041 Grenoble Cedex 9, France, 3 Space Science Institute, 1...

According to the code of ethics of the National Society of Professional Engineers, engineers must “hold paramount the safety, health, and welfare of the public.” Several kinds of arguments have been employed to show that engineers (and other professionals) have such duties towards the population. Some authors have claimed that these obligations are part of the very essence of professionalism; b...

February 19, 2015 Version 1.8.15 Date 2014/12/17 Title Analysis of habitat selection by animals Author Clement Calenge, contributions from Mathieu Basille, Stephane Dray and Scott Fortmann-Roe Maintainer Clement Calenge Depends R (>= 2.10.0), ade4, tkrplot, shapefiles, sp Suggests spatstat, MASS, CircStats Description A collection of tools for the analysis of hab...

Urine : Albumin +. No sugar or casts. Widal.?Negative 1 in 25 for B. typhosus, and para A, B and and C. Weil-Felix reaction.?OXK 25, OX2 -f100, 0X19 + 200. Progress.?The temperature became normal on the morning of the 14th day of illness. He had slight rise of temperature in the evening for the next 3 days, and it settled down to normal on the 18th day. The hiccough continued till the 16th day....

It seems so obvious that cheating is wrong that providing a justification is not a main concern: most of the research is empirical and focuses on quantification and correlations. I look at a number of reasons why cheating may be wrong: it provides an unfair advantage over other students, it hinders learning, and it is dishonest. They are unexpectedly weak (often not proving that cheating is wro...

In this paper we solve some problems posed by Kolchin about differential algebraic groups. The main result (from which the others follow) is the embeddability of any differential algebraic group in an algebraic group. A crucial intermediate result, and one of independent interest, is a generalisation of Weil’s theorem on recovering an algebraic group from birational data, to pro-algebraic groups.