论文标题
曲线和霍奇结构极限的高度
Heights on curves and limits of Hodge structures
论文作者
论文摘要
我们在平滑曲线上的néron-tate高度与与奇异商平滑变形相关的极限混合杂货结构之间的néron-tate高度之间的精确联系。我们的方法提出了一种计算贝林森(Beilinson)的新方法 - 较高维度的布洛克高度。
We exhibit a precise connection between Néron--Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singular quotient curves. Our approach suggests a new way to compute Beilinson--Bloch heights in higher dimensions.