Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regulator Maps for Higher Chow Groups via Current Transforms   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.

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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph