Enlargements of Schemes

Details Enlargements of Schemes Enlargements of Schemes

2006-04-16

arxiv.org/abs/math/0604354v1

Logic and Analysis 1 (2007), no. 1, 1--60.

Mathematics

Algebraic Geometry

43 pages

Scientific paper

In this article we use our constructions from "Enlargements of Categories" (Theory and Applications of Categories, 14:357-398) to lay down some foundations for the application of A. Robinson's nonstandard methods to modern Algebraic Geometry. The main motivation is the search for another tool to transfer results from characteristic zero to positive characteristic and vice versa. We give applications to the resolution of singularities and weak factorization.

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