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

2009/09/10 by Feng-Wen An, An, Feng-Wen · 5 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG #math.NT #msc:11G35 #msc:14J50

paper · pdf · doi:10.48550/arxiv.0909.1993

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

arxiv created 2009/12/20 · arxiv updated 2010/01/07

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).

Citations

• Automorphism Groups of Quasi-galois Closed Arithmetic Schemes

Cited by

• Automorphism Groups of Quasi-galois Closed Arithmetic Schemes
• Notes on the section conjecture of Grothendieck
• On the étale fundamental groups of arithmetic schemes, revised
• On the algebraic fundamental groups
• Notes on the quasi-galois closed schemes
• On the arithmetic fundamental groups

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