Rigidity for Henselian local rings and $$\mathbb{A}^1$$-representable theories
Rigidity for Henselian local rings and $$\mathbb{A}^1$$-representable theories
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Henselian 局部环的刚性和 $$mathbb{A}^1$$-可表示理论
DOI：
10.1007/s00209-006-0049-4
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发表时间：
2006
影响因子：
0.8
通讯作者：
S. Yagunov
中科院分区：
文献类型：
--
作者：
J. Hornbostel;S. Yagunov
我们证明了对于包含所有可定向理论的一大类$\mathbb{A}^1$$-可表示理论，可以构造转移映射并证明类似于Gabber关于代数K-理论的刚性定理。这推广了Panin和Yagrant的刚性结果从代数闭域到任意无限域。
We prove that for a large class of $$\mathbb{A}^1$$-representable theories including all orientable theories it is possible to construct transfer maps and to prove rigidity theorems similar to those of Gabber for algebraic K-theory. This extends rigidity results of Panin and Yagunov from algebraically closed fields to arbitrary infinite ones.