This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of cu…
In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le S…
As we approach a historic tipping point in the global trend toward urbanisation – within two decades urban dwellers will increase from 49% to 60% of the planet’s population – this book identifies and addresses a critical problem: water. The editors show how cities can shift from being water consumers to resource managers, applying urban water management principles to ensure access to wate…
Focusing on the challenges of the transition to responsible, sustainable lifestyles, this book examines developments over the last decade in relation to: - the creation of awareness of consumer citizenship, civic involvement and environmental stewardship - research, projects and publications on education for responsible living - the creation and implementation of relevant teaching meth…
This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on…
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept t…
The author looks at the prospects for a transition from natural gas to low carbon gas, which could take several decades, and at how this will depend on the evolution of the fossil fuel industry. She investigates the technologies and energy systems for making the best use of renewable gas resources.
It's time to think differently about cities and nature. Understanding how to better connect our cities with the benefits nature provides will be increasingly important as people migrate to cities and flourish in them. All this urban growth, along with challenges of adapting to climate change, will require a new approach to infrastructure if we're going to be successful. Yet guidance on how to p…