On value groups and residue fields of some valued function fields
نویسندگان
چکیده
منابع مشابه
Value Groups, Residue Fields, and Bad Places of Rational Function Fields
We classify all possible extensions of a valuation from a ground field K to a rational function field in one or several variables over K. We determine which value groups and residue fields can appear, and we show how to construct extensions having these value groups and residue fields. In particular, we give several constructions of extensions whose corresponding value group and residue field e...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1994
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500018897