Abstract
This chapter concerns mainly algebraic K-theory as a Poincaré duality theory. Beilinson’s basic idea is that this duality theory is universal and that its relation with other Poincaré duality theories is given by generalized regulator maps. An essential role is played by a Riemann-Roch Theorem in higher algebraic K-theory, due to H. Gillet.
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References and Suggestions for Further Reading
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© 1994 Springer Fachmedien Wiesbaden
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Hulsbergen, W.W.J. (1994). Riemann-Roch, K-theory and motivic cohomology. In: Conjectures in Arithmetic Algebraic Geometry. Aspects of Mathematics, vol 18. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09505-7_5
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DOI: https://doi.org/10.1007/978-3-663-09505-7_5
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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