The Hodge-D-Conjecture fora Product of Elliptic Curves

Alexandru Ghitza; James D. Lewis; Karim Mansour; Genival Da Silva Jr

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arXiv · 2108.04398

The Hodge-D-Conjecture fora Product of Elliptic Curves

Alexandru Ghitza·James D. Lewis·Karim Mansour·Genival Da Silva Jr

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Abstract

Let $X/C$ be a general product of elliptic curves. Our goal is to establish the Hodge-D-conjecture for $X$. We accomplish this when $\dim X \leq 5$. For $\dim X \geq 6$, we reduce the conjecture to a matrix rank condition that is amenable to computer calculation.

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Alexandru Ghitza, James D. Lewis, Karim Mansour, Genival Da Silva Jr. 2021-08-10. The Hodge-D-Conjecture fora Product of Elliptic Curves. https://arxiv.org/abs/2108.04398

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