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arXiv · 2210.15932

Real Regulators for Products of Elliptic Curves

Xi Chen·James D. Lewis
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Abstract

Assuming the Kunneth decomposition of the Chow groups of products of general Kummer surfaces, we prove that the Hodge-${\mathcal D}$-conjecture fails for the real regulator $r_{k,1}$ on a product of $n$ general elliptic curves for $2n\ge 3k-1\ge 8$.

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Xi Chen, James D. Lewis. 2023-10-15. Real Regulators for Products of Elliptic Curves. https://arxiv.org/abs/2210.15932

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