Collaborative learning has become a dominant learning apparatus for higher level learning objectives. Much of the psychological and social mechanisms operating under this complex group activity, however, is not yet well understood. The purpose of this study was to investigate the effects of college students' communication competence and degree centralities of their social networks on learning o...

Mikhail Erekhinsky, Fèlix Casanova, Ivan K. Schuller, and Amos Sharoni Department of Physics, Center for Advanced Nanoscience, University of California, San Diego, La Jolla, California 92093, USA CIC NanoGUNE, 20018 Donostia-San Sebastian, Basque Country, Spain IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Basque Country, Spain Department of Physics, Institute of Nanotechnology and A...

1 Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, CA 91125, USA 2 Arthur Amos Noyes Laboratory of Chemical Physics, California Institute of Technology, Pasadena, CA 91125, USA 3 Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA * now at: Columbia Astrophysics Laboratory, Columbia University, New ...

We compute the stable reduction of some Galois covers of the projective line branched at three points. These covers are constructed using Hurwitz spaces parameterizing metacyclic covers. The reduction is determined by a certain hypergeometric differential equation. This generalizes the result of Deligne and Rapoport on the reduction of the modular curve X (p).

We construct toroidal and minimal compactifications, with expected properties concerning stratifications and formal local structures, for all integral models of PEL-type Shimura varieties defined by taking normalizations over the splitting models considered by Pappas and Rapoport. (These include, in particular, all the normal flat splitting models they considered.)