Tag: global-fields

48 Learning Class Field Theory: Local or Global First? 2009-11-27T04:51:24.633

41 Is there a "purely algebraic" proof of the finiteness of the class number? 2010-12-28T12:13:45.893

23 Global fields: What exactly is the analogy between number fields and function fields? 2009-10-20T04:28:40.850

14 Dimension of central simple algebra over a global field "built using class field theory". 2010-06-15T10:39:39.970

12 Evidence for $Q^{\operatorname{solv}}$ being pseudo-algebraically-closed 2009-11-22T19:39:10.397

9 Elliptic Curves over Global Function Fields 2011-04-08T12:20:23.803

6 Can algebraic number fields be generalized in a similar way to function fields in 1 variable over a finite field? 2010-03-21T08:54:52.693

5 Compactness of adelic quotients for unipotent groups over global fields 2014-09-02T22:41:10.877

5 Why is $K_{\upsilon}|K$ separable for a global field $K$? 2017-12-06T18:04:56.067

4 Explicit description/calculation of norm group of ideles of characteristic $p$ global field 2015-02-05T12:41:45.437

4 Reference for: Every local field can be realized as the completion of a global field 2016-05-20T12:39:16.247

3 Does a $K_{\upsilon}$-point of a variety $V$ give a point of $V$ in $K_{(\upsilon)}=K^{sep}\cap K_{\upsilon}$ for a global field $K$? 2017-12-23T15:45:28.680

2 Global Artin reciprocity law from Local class field theory 2014-05-18T09:54:11.190

2 Property of a derivative in global field 2016-03-23T16:24:08.387

1 Are elliptic global function fields totally imaginary? 2017-10-04T09:38:44.313