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- W4288405710 abstract "We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Using this construction we produce explicit formulas at the level of complexes for a regulator map from the Higher Chow groups of smooth complex quasi-projective algebraic varieties to Deligne-Beilinson cohomology with integral coefficients. A distinct aspect of our approach is the use of Suslin's complex of equidimensional cycles over $ Delta^n $ to compute Bloch's higher Chow groups. We calculate explicit examples involving the M{a}hler measure of Laurent polynomials." @default.
- W4288405710 created "2022-07-29" @default.
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- W4288405710 date "2019-03-27" @default.
- W4288405710 modified "2023-10-17" @default.
- W4288405710 title "Regulator Maps for Higher Chow Groups via Current Transforms" @default.
- W4288405710 doi "https://doi.org/10.48550/arxiv.1903.11541" @default.
- W4288405710 hasPublicationYear "2019" @default.
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