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RELATIVE CYCLES WITH MODULI AND REGULATOR MAPS

Binda, Federico ; Saito, Shuji



Abstract

Let (X) over bar be a separated scheme of finite type over a field k and D a non-reduced effective Cartier divisor on it. We attach to the pair ((X) over bar, D) a cycle complex with modulus, those homotopy groups - called higher Chow groups with modulus - generalize additive higher Chow groups of Bloch-Esnault, Riffling, Park and Krishna-Levine, and that sheafified on (X) over bar (Zar) gives a ...

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