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The Specializations in a Scheme

Feng-Wen An
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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.

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Feng-Wen An. 2007-06-05. The Specializations in a Scheme. https://arxiv.org/abs/math/0509587

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