A Universal Mapping Property of Generalized Jacobian Varieties

1957 ◽  
Vol 66 (1) ◽  
pp. 80 ◽  
Author(s):  
Maxwell Rosenlicht
Keyword(s):  
Mapping Property ◽  
Generalized Jacobian ◽  
Jacobian Varieties

Generalized Jacobian Varieties

1954 ◽  
Vol 59 (3) ◽  
pp. 505 ◽  
Author(s):  
Maxwell Rosenlicht
Keyword(s):  
Generalized Jacobian ◽  
Jacobian Varieties

scholarly journals On real generalized Jacobian varieties

2005 ◽  
Vol 203 (1-3) ◽  
pp. 252-274 ◽  
Author(s):  
Jean-Philippe Monnier
Keyword(s):  
Generalized Jacobian ◽  
Jacobian Varieties

scholarly journals Generalized Jacobian Varieties and Separable Abelian Extensions of Function Fields

1957 ◽  
Vol 12 ◽  
pp. 231-254 ◽  
Author(s):  
Hisasi Morikawa
Keyword(s):  
Field Theory ◽  
Finite Fields ◽  
Function Fields ◽  
Abelian Extension ◽  
Jacobian Variety ◽  
Generalized Jacobian ◽  
Abelian Extensions ◽  
Jacobian Varieties ◽  
Several Variables ◽  
Class Fields

Using Frobenius automorphisms ingeniouslly, S. Lang has established an elegant theory of unramified class fields of function fields in several variables over finite fields [2]. As an application of class field theory and theory of reduction he has proved that any separable unramified abelian extension of a function field of one variable comes from a pull back of a separable ingeny of its jacobian variety [3].

Jacobian Varieties

1986 ◽  
pp. 167-212 ◽  
Author(s):  
J. S. Milne
Keyword(s):  
Jacobian Varieties
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