scholarly journals Hasse principle for hermitian spaces over semi-global fields

2016 ◽  
Vol 458 ◽  
pp. 171-196
Author(s):  
Zhengyao Wu
Keyword(s):  
Hasse Principle ◽  
Global Fields

Thue equations that simultaneously fail the Hasse principle

2021 ◽  
pp. 1-10
Author(s):  
PALOMA BENGOECHEA
Keyword(s):  
Positive Integer ◽  
Hasse Principle ◽  
Fixed Degree ◽  
Binary Forms ◽  
Absolute Value ◽  
Positive Proportion ◽  
The Absolute

Abstract We refine a previous construction by Akhtari and Bhargava so that, for every positive integer m, we obtain a positive proportion of Thue equations F(x, y) = h that fail the integral Hasse principle simultaneously for every positive integer h less than m. The binary forms F have fixed degree ≥ 3 and are ordered by the absolute value of the maximum of the coefficients.

Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 17-34 ◽  
Author(s):  
Eva Bayer-Fluckiger ◽  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Ting-Yu Lee ◽  
Raman Parimala ◽  
...  
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori

On the Hasse principle for cubic surfaces

Mathematika ◽  
1966 ◽  
Vol 13 (2) ◽  
pp. 111-120 ◽  
Author(s):  
J. W. S. Cassels ◽  
M. J. T. Guy
Keyword(s):  
Hasse Principle ◽  
Cubic Surfaces

Reduction theory over global fields

1994 ◽  
Vol 104 (1) ◽  
pp. 207-216 ◽  
Author(s):  
T. A. Springer
Keyword(s):  
Reduction Theory ◽  
Global Fields
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