关于某些曲线族的K_2
On K_2 of certain families of curves
摘要：
我们构造的家庭顺利，适当的，代数曲线的特征为0，任意亏格g，连同g元素的核心驯服符号。我们表明，这些元素一般是独立的限制计算的监管机构。在数域上，我们证明了在某些族中元素是积分的。我们确定当这些曲线是超椭圆的，发现，特别是，在任何数域，我们有非超椭圆曲线的所有复合属g与g独立的整元的核心驯服的符号。
英文摘要：
We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those elements are in general independent by a limit calculation of the regulator. Working over a number field, we show that in some of those families the elements are integral. We determine when those curves are hyperelliptic, finding, in particular, that over any number field we have non-hyperelliptic curves of all composite genera g with g independent integral elements in the kernel of the tame symbol.
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