For abelian varieties of dimension at most three, higher Chow cycles yield meromorphic Siegel modular forms of weight Sym^4 det^-1, and the K-theory elevator matches the Siegel operator under rank-one degeneration.
A.Higher regulators and values of L-functions.J
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Siegel modular forms arising from higher Chow cycles
For abelian varieties of dimension at most three, higher Chow cycles yield meromorphic Siegel modular forms of weight Sym^4 det^-1, and the K-theory elevator matches the Siegel operator under rank-one degeneration.