Heuristics on pairing-friendly abelian varieties

We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.0307Comment: Pages 6-7 rewritten, other minor changes mad

Measuring WWZ and WWgamma coupling constants with Z-pole data

Triple gauge boson couplings between Z, gamma and the W boson are determined by exploiting their impact on radiative corrections to fermion-pair production in e+e- interactions at centre-of-mass energies near the Z-pole. Recent values of observables in the electroweak part of the Standard model are used to determine the four parameters epsilon_1, epsilon_2, epsilon_3 and epsilon_b. In a second step the results on the four epsilon parameters are used to determine the couplings Delta-g^1_Z and Delta-kappa_gamma. For a wide range of scales, these indirect coupling measurements are more precise than recent direct measurements at LEP 2 and at the TEVATRON. The Standard model predictions agree well with these measurements.Comment: 6 pages, 2 tables, 4 figure

Explicit CM-theory for level 2-structures on abelian surfaces

For a complex abelian variety $A$ with endomorphism ring isomorphic to the maximal order in a quartic CM-field $K$, the Igusa invariants $j_1(A), j_2(A),j_3(A)$ generate an abelian extension of the reflex field of $K$. In this paper we give an explicit description of the Galois action of the class group of this reflex field on $j_1(A),j_2(A),j_3(A)$. We give a geometric description which can be expressed by maps between various Siegel modular varieties. We can explicitly compute this action for ideals of small norm, and this allows us to improve the CRT method for computing Igusa class polynomials. Furthermore, we find cycles in isogeny graphs for abelian surfaces, thereby implying that the `isogeny volcano' algorithm to compute endomorphism rings of ordinary elliptic curves over finite fields does not have a straightforward generalization to computing endomorphism rings of abelian surfaces over finite fields

Aligning Business Engineering Education with Contemporary Industry Requirements

Abstract. Business Engineering emerged as an academic discipline almost a century ago in response to economic demand for experts with both business and engineering expertise. The discipline has since evolved to meet the needs of the fast changing global marketplace. The impact of globalization on the architecture, governance and running of organizations has also shaped the field today. Education has responded to these changes by adapting its architecture and governance to fit international needs. This study examines the case of ESB Business School, Reutlingen University as an example of how business engineering education has been forced to adapt its architecture and governance to fit international needs in the field. Close collaboration with global academic and corporate partners has enabled the school to integrate multiple international components into its business engineering curricula. However, the overall goal remains to ensure that the business engineering education provided is aligned with the global requirements coming from industry. This exploratory industry-driven study tackles this challenge. Qualitative interviews with company representatives of international companies as well as a global industry survey were conducted to examine what study programs and what graduate skill-set are most commonly sought after by industry in different regions of the world. Keywords: Business engineering, competence, employability, domain expertis

Failed and Foiled Islamic Terrorist Plots Targeting Military Personnel in the United States Since 9/11

Background: On May 21, 2020, Navy police officers interrupted a terrorismrelated incident by neutralizing a 20-year old gunman who opened fire on military personnel at an entrance gate outside of the Naval Air Station Corpus Christi in Texas. One sailor was injured before the gunman was killed by Naval police officers

Explaining Bias Homicide Occurrences in the United States

The purpose of this study is to examine the relationships between Social-structural characteristics and bias homicide across counties in the United States between the years 1990 and 2014. While there have been several notable studies on this topic, most have been conducted in single cities or at the state level, thus overlooking variations across community types for the broader United States. Moreover, scholars have failed to distinguish violent from non-violent bias crimes in their research. Drawing from several ecological theories of crime, this study seeks to contribute to the literature by asking (1) what are the structural predictors of the likelihood of bias homicide occurrences? (2) do these same structural predictors affect the number of incidents across those counties that experience multiple bias homicides? To answer these questions, data on bias homicide are derived from the Extremist Crime Database (ECDB) and paired with Social and structural variables from the U.S. Census Bureau. Results are discussed relative to the goals of understanding where fatal bias crimes are more likely to occur as a means of informing law enforcement and policymakers interested in preventing and responding to this form of crime