کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587749 1334157 2008 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A construction for a class of valuations of the field k(X1,…,Xd,Y) with large value group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A construction for a class of valuations of the field k(X1,…,Xd,Y) with large value group
چکیده انگلیسی

Given any algebraically closed field k of characteristic zero and any totally ordered abelian group G of rational rank less than or equal to d, we construct a valuation of the field k(X1,…,Xd,Y) with value group G. In the case of rational rank equal to d this valuation is induced by a formal fractional power series parametrization of a transcendental hypersurface in affine (d+1)-space which is naturally approximated by a sequence of quasi-ordinary hypersurfaces. The value semigroup ν(k[X,Y]∖{0}) is the direct limit of the semigroups associated to these quasi-ordinary hypersurfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 7, 1 April 2008, Pages 2803-2829