关于正特征刚性解析调节器的核与象
On the kernel and the image of the rigid analytic regulator in positive characteristic
摘要：
我们将用公式表示并证明一个互反律，该互反律将来自芒福德曲线的K_2的微分符号dlog ^2的某些留数与作者在前一篇文章中构造的刚性解析调节器联系起来。我们将使用这个结果推导出一些后果的核和图像的刚性解析调节器类似的一些旧的代数贝林森和布洛赫的复解析调节器。我们还将我们的建设所定义的符号轮廓，卡雷尔和加藤的剩余同态，我们表明，韦伊的互惠法直接意味着互惠法的安德森和罗莫。
英文摘要：
We will formulate and prove a certain reciprocity law relating certain residues of the differential symbol dlog^2 from the K_2 of a Mumford curve to the rigid analytic regulator constructed by the author in a previous paper. We will use this result to deduce some consequences on the kernel and image of the rigid analytic regulator analogous to some old conjectures of Beilinson and Bloch on the complex analytic regulator. We also relate our construction to the symbol defined by Contou-Carrere and to Kato's residue homomorphism, and we show that Weil's reciprocity law directly implies the reciprocity law of Anderson and Romo.
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