On the existence of geometric models for function fields in several variables

Mathematics – Number Theory

Scientific paper

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9 pages. Made changes in: Section 2.1, Page 3; Section 3.1, Page 6

Scientific paper

In this paper we will give an explicit construction of the geometric model
for a prescribed extension of a function field in several variables over a
number field.
As a by-product, we will also prove the existence of quasi-galois closed
covers of arithmetic schemes (in eprint arXiv:0907.0842).

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