The Hodge-D-Conjecture fora Product of Elliptic Curves

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 $\dim X\le 5$. For $\dim X\ge 6$, we reduce the conjecture to a matrix rank condition that is amenable to computer calculation.

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