A counterpart to Nagata idealization
نویسندگان
چکیده
منابع مشابه
The Nagata automorphism is wild.
It is proved that the well known Nagata automorphism of the polynomial ring in three variables over a field of characteristic zero is wild, that is, it can not be decomposed into a product of elementary automorphisms.
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In the course of his construction [N] of a counterexample to Hilbert's 14th problem, Nagata was led to formulate a conjectural lower bound on the degree of a plane curve having assigned multiplicities at a generic collection of points. To state the conjecture precisely, recall first that the multiplicity mult P (C) of an arbitrary plane curve C (=pos
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It is proved that there exist wild coordinates in the polynomial algebra in three variables over a field of characteristic zero. This result implies the famous Nagata conjecture.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.05.002