Integrality at a prime for global fields
β
Kirsten EisentrΓ€ger
π
Article
π
2005
π
Elsevier Science
π
English
β 215 KB
Let k be a global field and p any nonarchimedean prime of k. We give a new and uniform proof of the well known fact that the set of all elements of k which are integral at p is diophantine over k. Let k perf be the perfect closure of a global field of characteristic p > 2. We also prove that the se