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.
متن کاملOn the Nagata Problem
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
متن کاملNagata-Smirnov Metrization Theorem.nb
Introduction: The Nagata-Smirnov Metrization theorem gives a full characterization of metrizable topological spaces. In other words, the theorem describes the necessary and sufficient conditions for a topology on a space to be defined using some metric. As a motivational example, consider the discrete topology on some space (every subset of the space is open). Though it might not be apparent to...
متن کاملThe strong Nagata conjecture.
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.
متن کاملDeligne’s Notes on Nagata Compactifications
We provide a proof of Nagata’s compactification theorem: any separated map of finite type between quasi-compact and quasi-separated schemes (e.g., noetherian schemes) factors as an open immersion followed by a proper morphism. This is a detailed exposition of private notes of Deligne that translate Nagata’s method into modern terms, and includes some applications of general interest in the theo...
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ژورنال
عنوان ژورنال: Journal of Human Environmental Studies
سال: 2007
ISSN: 1883-7611,1348-5253
DOI: 10.4189/shes.5.2_77