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This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.
First Published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.
This volume features the never-before-published prints of corrupt politicians, gangsters, Hebrew sages, fascist generals, mythological figures, and much more by the major American artist and social commentator, Jack Levine. Plate-by-plate commentaries. Introduction. Biographical Outline. 84 black-and-white illustrations.
Two foremost branding experts reveal the secrets to establishing a formidable Web presence. Using examples of companies both large and small that are profiting from the Internet today, they provide steps every business must take to develop a brand strategy that not only surmounts the challenges of e-commerce but fulfills the needs of customers.