In this chapter we review the main properties of local fields, which for our applications we take to mean completions of number fields with respect to a non-Archimedean metric. We also discuss the relations between certain local and global invariants in extensions of local fields (resp. number fields).

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Review of Local Fields

  • Davide Lombardo

摘要

In this chapter we review the main properties of local fields, which for our applications we take to mean completions of number fields with respect to a non-Archimedean metric. We also discuss the relations between certain local and global invariants in extensions of local fields (resp. number fields).