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A map from Lawson homology to Deligne Cohomology
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math.AGmath.DG
keywords
cohomologydelignehomologylawsonabel-jacobicomparecomplexcomplexes
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A natural map from Lawson homology to Deligne cohomology groups for smooth complex projective varieties is constructed by using the Harvey-Lawson spark complexes. We also compare this to Abel-Jacobi type constructions by others.
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