2006/10/01 | 定域场[Local Field]
类别(∑〖数学〗) | 评论(0) | 阅读(46) | 发表于 13:31
A field which is complete with respect to a discrete valuation is called a local field if its field of residue classes is finite. The Hasse principle is one of the chief applications of local field theory. A local field with field characteristic is isomorphic to the field of power series in one variable whose coefficients are in a finite field. A local field of characteristic zero is either the p-adic numbers, or power series in a complex variable.
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