论文标题
椭圆曲线产品的真正调节器
Real Regulators for Products of Elliptic Curves
论文作者
论文摘要
假设库默表面一般产品的库恩斯分解,我们证明了hodge-$ {\ mathcal d} $ - 对真正的调节剂$ r_ {k,1} $的猜测失败了$ n $ n $ Elliptic Curves的产品,以$ N $ ELLIPTIC CURVES的产品,价格为$ 2N \ ge 3k-ge 3k-1 \ ge 8 $。
Assuming the Kunneth decomposition of the Chow groups of products of general Kummer surfaces, we prove that the Hodge-${\mathcal D}$-conjecture fails for the real regulator $r_{k,1}$ on a product of $n$ general elliptic curves for $2n\ge 3k-1\ge 8$.