p进éte Tate扭转的闭链类与p进调节子的像
代数几何
2012-03-13 v4 K理论与同调
摘要
在本文中，我们构造了取值于p进éte Tate扭转[S2]的陈类映射和闭链类映射。我们还将p进éte Tate扭转与Bloch-Kato的有限部分联系起来。作为应用，我们在某些假设下证明了p进调节子映射的整数部分取值于伽罗瓦上同调的有限部分。
引用
@article{arxiv.1004.1357,
title = {Cycle classes for p-adic \'etale Tate twists and the image of p-adic regulators},
author = {Kanetomo Sato},
journal= {arXiv preprint arXiv:1004.1357},
year = {2012}
}
备注
61 pages. The title has been changed. In the new section 5 includes a detailed proof the Whitney sum formula for the Chern class of vector bundles over simplicial schemes, which is essential in the additivity of the Chern class map for higher K-groups