Synopsis
The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.
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Mixed motives and algebraic K-theory. Lecture notes in mathematics, vol. 1400
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Mixed Motives and Algebraic K-Theory
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Mixed Motives and Algebraic K-Theory (Lecture Notes in Mathematics, 1400)
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Mixed Motives and Algebraic K-Theory. Lecture notes in mathematics. Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn; Bd. vol. 14.
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Mixed Motives and Algebraic K-Theory
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Mixed Motives and Algebraic K-Theory
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Mixed Motives and Algebraic K-Theory
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Mixed Motives and Algebraic K-Theory (Lecture Notes in Mathematics, 1400, Band 1400)
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ISBN 10: 3540522603
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kartoniert kartoniert. Condition: Sehr gut. 246 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 436. Seller Inventory # 360378
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Mixed Motives and Algebraic K-Theory
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twi. Seller Inventory # 4892313
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Mixed Motives and Algebraic K-Theory
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch. Seller Inventory # 9783540522607