Brauer groups of curves and reciprocity law in Brauer groups of their function fields

Algebra ◽  
2012 ◽  
Author(s):  
V. I. Yanchevskii
Keyword(s):  
Function Fields ◽  
Brauer Groups ◽  
Reciprocity Law

TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

2001 ◽  
Vol 29 (9) ◽  
pp. 3971-3987 ◽  
Author(s):  
U. Rehmann ◽  
S. V. Tikhonov ◽  
V. I. Yanchevskii
Keyword(s):  
Function Fields ◽  
Hyperelliptic Curves ◽  
Brauer Groups

scholarly journals Brauer groups of rational function fields

1979 ◽  
Vol 1 (5) ◽  
pp. 766-769 ◽  
Author(s):  
Burton Fein ◽  
Murray Schacher ◽  
Jack Sonn
Keyword(s):  
Rational Function ◽  
Function Fields ◽  
Brauer Groups

Multiple Dedekind–Rademacher sums in function fields

2014 ◽  
Vol 10 (05) ◽  
pp. 1291-1307 ◽  
Author(s):  
Abdelmejid Bayad ◽  
Yoshinori Hamahata
Keyword(s):  
Function Fields ◽  
Dedekind Sums ◽  
Reciprocity Law ◽  
Higher Dimensional

In the previous paper, we introduced the higher-dimensional Dedekind sums in function fields, and established the reciprocity law. In this paper, we generalize our higher-dimensional Dedekind sums and establish the reciprocity law and the Petersson–Knopp identity.

scholarly journals Brauer groups and character groups of function fields, II

1984 ◽  
Vol 87 (2) ◽  
pp. 510-534 ◽  
Author(s):  
Burton Fein ◽  
Murray Schacher
Keyword(s):  
Function Fields ◽  
Brauer Groups

scholarly journals Brauer groups and character groups of function fields

1979 ◽  
Vol 61 (1) ◽  
pp. 249-255 ◽  
Author(s):  
Burton Fein ◽  
Murray Schacher
Keyword(s):  
Function Fields ◽  
Brauer Groups

scholarly journals Brauer groups of algebraic function fields

1986 ◽  
Vol 103 (2) ◽  
pp. 454-465 ◽  
Author(s):  
Burton Fein ◽  
Murray Schacher
Keyword(s):  
Function Fields ◽  
Algebraic Function ◽  
Brauer Groups ◽  
Algebraic Function Fields
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