In general, a local field is a locally compact topological field with respect to a non-discrete topology. Basic features of non... · Higher-dimensional local fields

22 нояб. 2022 г. · A local field is a locally compact Hausdorff (non-discrete) topological field. Basic examples are the p-adic numbers ... Definition · Properties · Relation to local rings (warning)

6 окт. 2021 г. · A local field is a field with a nontrivial absolute value | | that is locally compact under the topology induced by | |. Recall that a ...

Local fields provide a natural tool to attack many number-theoretic problems, and they are ubiquitous in modern algebraic number theory and arithmetic geometry.

The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and ...

In mathematics, a higher (-dimensional) local field is an important example of a complete discrete valuation field. Such fields are also sometimes called multi ...

A field which is complete with respect to a discrete valuation is called a local field if its field of residue classes is finite. The Hasse principle is one ...

Uniqueness: Essentially follows form uniqueness of splitting fields of polynomials over K. From now on K is a non-archimedean local field with algebraic closure ...

Definition. Let (K,|·|) be a valued field. K is a local field if it is complete and locally compact. Proposition ...

31 окт. 2019 г. · A local field as a field which is locally compact with respect to some absolute value. By a theorem of Ostrowski, this means that the field is either R, C, or ...