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Arakelov Geometry and Diophantine Applications
Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez's conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.
World of Chessboard
Life is like a play, young master Qing Yi. What was distinct in black and white was the chess game; what was indistinct was the human heart. Chess is difficult to decide, step by step, one wrong move, all lost. He was gentle and refined, drunk and free from worldly strife; he wore an open and upright robe, his reputation as a man of the world was just like smoke passing through his eyes; he lowered his eyebrows and gave a slight smile. He was playful, dashing, and elegant; he had a fan in his hand; it was common for people to fight openly or secretly, and they would look down on him with their heads held high. It was originally a different life, yet it became a straight line that led to a completely different end point. Was he going to be reborn from the flames? When the chessboard was no longer black and white, when every single chess piece was imbued with the hearts of the people, vividly displaying the word "chess", the chessboard would no longer be a chessboard, but a formidable game. Close]
Fabrication and Applications of Biomass-Derived Porous Carbon
This book systematically introduces the fundamentals, preparation technology, state-of-the-art applications, and future development of biomass-derived porous carbon materials. The authors provide a theoretical foundation that demonstrates the microstructure and physicochemical properties of carbon materials. The fabrication methods, including physical activation methods, chemical activation methods, and advances in other new fabrication methods are explicitly described. The book also identifies many potential applications of biomass (especially biomass-derived porous carbon materials), such as supercapacitors, removal of organic pollutants from water, CO2 capture, photocatalytic application, and farmland restoration. The book will be a valuable resource for researchers, scientists, and engineers working in the field of biomass-derived porous carbon materials, carbon resource development, and environmental protection.
Multidimensional Residue Theory and Applications
Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to...
Biographical Dictionary of Chinese Women: v. 2: Twentieth Century
The first biographical dictionary in any Western language devoted solely to Chinese women, Biographical Dictionary of Chinese Women is the product of years of research, translation, and writing by scores of China scholars from around the world. Volume II: Twentieth Century includes a far greater range of women than would have been previously possible because of the enormous amount of historical material and scholarly research that has become available recently. They include scientists, businesswomen, sportswomen, military officers, writers, scholars, revolutionary heroines, politicians, musicians, opera stars, film stars, artists, educators, nuns, and more.
Biographical Dictionary of Chinese Women
A biographical dictionary devoted to Chinese women, this text is the result of years of research, translation and writing from contributors from around the world. This volume focuses on the 20th century and includes sportwomen, film stars, musicians, politicians, artists, educators and more.
Advances in Computational Intelligence
This book constitutes the proceedings of the second International Workshop on Advanced Computational Intelligence (IWACI 2009), with a sequel of IWACI 2008 successfully held in Macao, China. IWACI 2009 provided a high-level international forum for scientists, engineers, and educators to present state-of-the-art research in computational intelligence and related fields. Over the past decades, computational intelligence community has witnessed t- mendous efforts and developments in all aspects of theoretical foundations, archit- tures and network organizations, modelling and simulation, empirical study, as well as a wide range of applications across different domains. IWACI 2009 provided a gre...
Arithmetic Geometry
Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thelene, Peter Swinnerton Dyer and Paul Vojta.
