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This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course. The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and constructibility. $mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line. Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem.
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Taiwan's Relations with Mainland China is the first book to deal with the role of Taiwan’s leadership politics, including the personal political styles of Lee Teng-hui and Chen Shui-bian, in the development of Taiwan’s mainland policy and the consequences for U.S.-Taiwan relations. Including analysis of the critical and volatile 1988-2004 period, the Taiwan Straits crisis and cross-strait tension associated with the 2004 Taiwan presidential campaign, Su Chi weaves in his personal participation in Taiwan policy making during critical periods in Taiwan’s diplomatic history to provide insight and information on cross-strait relations that is not available elsewhere As a study of Taiwan’s mainland and US policy this will be a fascinating read for students and scholars of Taiwan Politics, Chinese Foreign Policy and East Asian Security studies alike.
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Embodied Memories, Embedded Healing critically engages with the major East Asian cultural knowledge, beliefs, and practices that influence environmental consciousness in the twenty-first century. This volume examines key thinkers and aspects of Daoist, Confucianist, Buddhist, indigenous, animistic, and neo-Confucianist thought. With a particular focus on animistic perspectives on environmental healing and environmental consciousness, the contributors also engage with media studies (eco-cinema), food studies, critical animal studies, biotechnology, and the material sciences.
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.
Provides detailed descriptions of organic, inorganic, and hybrid solar cells and the latest developments in the quest to produce low-cost, long-lasting solar cells What will it take to transform solar energy from an important alternative source to a truly competitive and, perhaps, dominant one? Lower cost and longer life. Organic, Inorganic, and Hybrid Solar Cells: Principles and Practice provides in-depth information on the three types of existing solar cells, giving readers a good foundation for evaluating the technologies with the most potential for competing with energy from fossil fuels. Featuring a Foreword written by Nobel Peace Prize co-winner Dr. Woodrow W. Clark, this timely and co...
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