Homotopy groups of generic leaves of logarithmic foliations

We study the homotopy groups of generic leaves of logarithmic foliations on complex projective manifolds. We exhibit a relation between the homotopy groups of a generic leaf and of the complement of the polar divisor of the logarithmic foliation.Comment: Keywords: Foliations, Logarithmic, Topology of Leave

Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods

In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large enough to stabilize the method. A central idea in the analysis is to construct an auxiliary solution from the discontinuous Galerkin solution by a simple post processing. Based on the auxiliary solution, we define the adaptive algorithm which guides to the convergence of adaptive discontinuous Galerkin methods

Preparing students for their Year Abroad in the Hispanic World

We will share the TEACHERS' BOOK with the answer keys for all the exercises, all the transcriptions and some audio tracks, *FREE OF CHARGE* to all teachers currently using or would like to adopt the texbook, here in Language Box, from the end of August 2012. Watch this space! Many thanks for taking the time to read this. The author

TEACHERS BOOK, Pasaporte al Mundo Hispano

We will share the TEACHERS' BOOK with the answer keys for all the exercises, all the transcriptions and some audio tracks, *FREE OF CHARGE* to all teachers currently using or would like to adopt the texbook, here in Language Box, from the end of August 2012. Watch this space! Many thanks for taking the time to read this. The author