English

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

Number Theory 2009-12-21 v2 Algebraic Geometry

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).

Keywords

Cite

@article{arxiv.0909.1993,
  title  = {On the existence of geometric models for function fields in several variables},
  author = {Feng-Wen An},
  journal= {arXiv preprint arXiv:0909.1993},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T13:45:00.602Z