This publication is the long-awaited book of the well-known Irvine lectures. introduced in 1978 on the college of California at Irvine, those lectures grew to become out to be an access aspect to numerous intimately-connected new branches of mathematics algebraic geometry, corresponding to regulators and precise values of L-functions of algebraic forms, particular formulation for them by way of polylogarithms, the speculation of algebraic cycles, and at last the overall concept of combined explanations which unifies and underlies all the above (and a lot more). within the two decades due to the fact that, the significance of Bloch's lectures has now not reduced. A fortunate team of individuals operating within the above components had the nice fortune to own a duplicate of outdated typewritten notes of those lectures. Now each person may have their very own replica of this vintage paintings.
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