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Results tagged with global-fields
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user 717
5
votes
Global fields: What exactly is the analogy between number fields and function fields?
From the valuation theoretic point of view both types of fields (nearly) look the same. If we compare Q with Fp[X], then the set of all (real-valued) absolute values on these fields is made up by the …
- 5,243
12
votes
Learning Class Field Theory: Local or Global First?
Perhaps no one else will share my opinion but I am a fan of Neukirch's approach to both local and global class field theory as presented in his book on algebraic number theory. Neukirch constructs an …
- 5,243