This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Germany did not have professional players or a national league until the 1960s, yet it became one of the most successful football nations in the world. Tor! (Goal!) traces the extraordinary story of Germany's club and international football, from the days when it was regarded as a dangerously foreign pastime, through the horrors of the Nazi years to postwar triumphs and the crisis of the new century. Tor! challenges the myth that German football is 'predictable' or 'efficient' and brings to life the fascinating array of characters who shaped it: the betrayed pioneer Walther Bensemann; the enigmatic genius Sepp Herberger; the all-conquering Franz Beckenbauer; the modern misfit Lothar Matthäus. And even the radio commentator Herbert Zimmermann, whose ecstatic cries of 'Tor!' greeted the winning goal in the 1954 World Cup final and helped change a whole nation's view of itself. Fully revised and updated ahead of the 2022 World Cup, Tor! is the definitive history of German football.
This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Documents the work of the often neglected director of the German silent film classic, The Cabinet of Dr. Caligari. The chapters move chronologically through the different periods of Wiene's career, summarizing and critiquing 90 films he either directed or wrote. Originally published in German, the book includes black and white photographs and a filmography. Annotation copyrighted by Book News, Inc., Portland, OR
Inhaltsangabe:Abstract: Since the adoption of the Single European Act (SEA) in 1986 more and more competencies have been transferred by EU Member States to decision makers in Brussels. Beside the objective of the completion of the Single Market the scope of Community policies has widened to political co-operation, technological development, and social policy. In addition, the powers of the European Parliament were strengthened and qualified majority voting was introduced for decisions related to the completion of the internal market. Since the summits of Maastricht and Amsterdam European integration has further gained in momentum. National governments again handed over sovereignty to the European level. Jacques Delors famous quote that 80% of regulations impacting on the economic sphere were decided in Brussels today demonstrates the shift of competency. Within the last 15 years Brussels has become an important centre of power. This transference of power to the European level also has affected the behaviour of interest groups. Before 1986 it usually was sufficient to lobby the own national administration in order to influence regulations. The main function of European peak organisations at the time was on the one hand to monitor events in Brussels and report them back to their member federations on the other hand they formed a transnational network for the exchange of information. The growing power of European institutions and the strengthening of the supranational element within the European Union required interest groups to broaden their participation in the European decision making process. In addition, the technical problems regarding the realisation of the internal market, e.g. harmonisation of services, standardisation of products etc. has triggered off an enormous demand for technical input on the side of the European institutions. Since the adoption of the SEA, thus, interest groups have proliferated. New groups with new interests have emerged. Long established organisations have increased their financial and personnel resources. After Washington D.C., Brussels has become the second biggest boomtown for lobbying activities. In 1992 the Commission has estimated that approximately 3000 special interest groups with a total of 10,000 lobbyists try to influence the institutions of the European Union. The directory of interest groups lists 891 European peak organisations. Beside these Eurogroups a myriad form of actors all trying to get [...]
Have you ever wondered who invented the 4-4-2 formation? Why footballers used to celebrate success by releasing a platitudinous pop single? And who has really scored the most goals in the history of the game? You can find the answers to all these questions and more in a book which takes the time to consider the debt the stepover may owe to Dutch speed skaters, explores the most surprising world transfer record and celebrates the most dysfunctional World Cup campaign ever. Through a series of answers to puzzling and perennial questions, the book sheds unexpected light on the beautiful game, challenging conventional wisdom, discovering neglected heroes and destroying a few urban myths along the way.
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