On valued function fields III. Reductions of algebraic curves.
On valued function fields III. Reductions of algebraic curves.
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关于有价值的函数域 III．
DOI：
10.1515/crll.1992.432.117
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
M. Matignon
中科院分区：
文献类型：
--
作者：
F. Pop;B. Green;M. Matignon
设(K，νκ)是赋值环@K的值域，F\K是一元函数域，赋以有限个常数约化集F延长νκ到F，且具有[G-M-P2]中定义的K-正则函数S.我们将0x-方案与常数约简集合V联系起来，它是P$K相对于域扩张F\K(F)的正规闭包，其中/e f是F-正则函数。本文的目的是研究0x-曲线#F，主要结果如下：
Let (K, νκ) be a valued field with valuation ring @K and F\K a function field in one variable, endowed with a finite set of constant reductions F prolonging νκ to F and possessing a K-regul r function s defined in [G-M-P 2]. To the set of constant reductions V we associate the 0x-scheme <#F which is the normal closure of P$K relative to the field extension F\K(f), where/e Fis a F-regular function. Our aim in this paper is to study the 0x-curves #F, the main results being the following: