The Specializations in a Scheme
Algebraic Geometry
2007-06-13 v6
Abstract
In this paper we will obtain some further properties for specializations in a scheme. Using these results, we will take a picture for a scheme and a picture for a morphism of schemes. In particular, we will prove that every morphism of schemes is specialization-preserving and of norm not greater than one (under some condition); a necessary and sufficient condition will be given for an injective morphism of irreducible schemes.
Keywords
Cite
@article{arxiv.math/0509587,
title = {The Specializations in a Scheme},
author = {Feng-Wen An},
journal= {arXiv preprint arXiv:math/0509587},
year = {2007}
}
Comments
Revised. 14 pages