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The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.
very small domain (environment) affects through analytic continuation the whole of Riemann surface, or analytic manifold . Riemann was a master at applying this principle and also the first who noticed and emphasized that a meromorphic function is determined by its 'singularities'. Therefore he is rightly regarded as the father of the huge 'theory of singularities' which is developing so quickly and whose importance (also for physics) can hardly be overe~timated. Amazing and mysterious for our cognition is the role of Euclidean space. Even today many philosophers believe (following Kant) that 'real space' is Euclidean and other spaces being 'abstract constructs of mathematicians, should not ...
First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
By the autumn of 1916, advances in Britain’s air defense capability had all but ended the Zeppelin menace, which had haunted the nation for almost two years. However, an emerging complacency regarding the aerial threat was immediately shattered by the introduction in 1917 of the Grosskampfflugzeug, better known as the Gotha bomber. Whereas Zeppelin airships had attacked individually and stealthily under the cover of darkness, the German Army now had a squadron of bomber aeroplanes capable of brazenly attacking London and south-east England in broad daylight, thereby unleashing a new wave of terror on the British population. Britain, having downgraded its aerial defenses after the apparent ...
Just over a decade after the Wright Brothers triumph of powered flight, the conduct of war was changed for ever. Until the Kaisers Zeppelins raided British cities and towns, it had been unthinkable that civilian populations and property hundreds of miles from the battlefield could be at risk from sudden death and destruction.In the first section of The Baby Killers Thomas Fegan charts the precise chronology of the air raids on Britain in this most thorough and fascinating work. From the start-point of the doom-laden prophecies of HG Wells and others, he describes the development of the German threat and the desperate search for answers to it. He analyses public reaction and assesses the effe...
Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, de...
The handbook presents an overview of Industry 4.0 and offers solutions for important practical questions. The law and its current challenges regarding data assignment (who owns the data? / EU guidelines), data security, data protection (General Data Protection Regulation), cyberattacks, competition law (right to access vs. monopolists, permissible and prohibited exchanges of information, possible collaborations) is the point of departure. In turn, the book explores peculiarities in specific areas of Industry 4.0 (Internet of Production, mechanical engineering, artificial intelligence, electromobility, autonomous driving, traffic, medical science, construction, energy industry, etc.). The book’s closing section addresses general developments in management, the digital transformation of companies and the world of work, and ethical questions.