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global field (Definition)

A global field is either a global number field or a global function field.

A global number field is a finite extension of the rationals.

A global function field is a finite extension of the field of rational functions $ k(t)$ of a finite field $ k$.



"global field" is owned by Mathprof.
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Also defines:  global number field, global function field
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Cross-references: finite field, field of rational functions, rationals, finite extension
There are 3 references to this entry.

This is version 3 of global field, born on 2007-03-26, modified 2007-03-31.
Object id is 9114, canonical name is GlobalField.
Accessed 1151 times total.

Classification:
AMS MSC: 14G20 (Algebraic geometry :: Arithmetic problems. Diophantine geometry :: Local ground fields)
 14G25 (Algebraic geometry :: Arithmetic problems. Diophantine geometry :: Global ground fields)
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