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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© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Hulsbergen, W.W.J. (1992). 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/10.1007/978-3-322-85466-7_5
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DOI: https://doi.org/10.1007/978-3-322-85466-7_5
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-06433-4
Online ISBN: 978-3-322-85466-7
eBook Packages: Springer Book Archive