The Specializations in a Scheme

Details The Specializations in a Scheme The Specializations in a Scheme

2005-09-25

arxiv.org/abs/math/0509587v6

Mathematics

Algebraic Geometry

Revised. 14 pages

Scientific paper

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.

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