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

Abstract

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).

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

References in corpus (2)

• Automorphism Groups of Quasi-galois Closed Arithmetic Schemes
• Affine Structures on a Ringed Space and Schemes

Cited by in corpus (10)

• Automorphism Groups of Quasi-galois Closed Arithmetic Schemes
• On the arithmetic fundamental groups
• On the étale fundamental groups of arithmetic schemes, revised
• On the algebraic fundamental groups
• On the etale fundamental groups of arithmetic schemes
• Notes on the quasi-galois closed schemes
• On the section conjecture of Grothendieck
• Notes on the section conjecture of Grothendieck
• Algebraic Anabelian Functors
• On the arithmetic Galois covers of higher relative dimensions