书目名称 | Lectures on Formally Real Fields |
编辑 | Alexander Prestel |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull‘s generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization...In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin‘s Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only. . |
出版日期 | Book 1984 |
关键词 | Fields; Real Fields; algebra; algebraic geometry; model theory; number theory; quadratic form |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0101548 |
isbn_softcover | 978-3-540-13885-3 |
isbn_ebook | 978-3-540-39093-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1984 |