scholarly journals On Euler characteristics of Selmer groups for abelian varieties over global function fields

2016 ◽  
Vol 106 (2) ◽  
pp. 117-128 ◽  
Author(s):  
Maria Valentino
Keyword(s):  
Function Fields ◽  
Abelian Varieties ◽  
Selmer Groups ◽  
Euler Characteristics ◽  
Global Function ◽  
Global Function Fields

scholarly journals Positivity of Hodge bundles of abelian varieties over some function fields

2021 ◽  
Vol 157 (9) ◽  
pp. 1964-2000
Author(s):  
Xinyi Yuan
Keyword(s):  
Finite Fields ◽  
Function Fields ◽  
Abelian Varieties ◽  
Global Function ◽  
Tate Conjecture ◽  
Global Function Fields

The main result of this paper concerns the positivity of the Hodge bundles of abelian varieties over global function fields. As applications, we obtain some partial results on the Tate–Shafarevich group and the Tate conjecture of surfaces over finite fields.

scholarly journals Euler characteristic and Akashi series for Selmer groups over global function fields

2018 ◽  
Vol 193 ◽  
pp. 213-234 ◽  
Author(s):  
Andrea Bandini ◽  
Maria Valentino
Keyword(s):  
Euler Characteristic ◽  
Function Fields ◽  
Selmer Groups ◽  
Global Function ◽  
Global Function Fields

scholarly journals Universal Norms on Abelian Varieties over Global Function Fields

2002 ◽  
Vol 94 (2) ◽  
pp. 326-342
Author(s):  
Matthew A. Papanikolas
Keyword(s):  
Function Fields ◽  
Abelian Varieties ◽  
Global Function ◽  
Global Function Fields

scholarly journals Improved Asymptotic Bounds for Codes Using Distinguished Divisors of Global Function Fields

2008 ◽  
Vol 21 (4) ◽  
pp. 865-899 ◽  
Author(s):  
Harald Niederreiter ◽  
Ferruh Özbudak
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Asymptotic Bounds ◽  
Global Function Fields

scholarly journals Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

1997 ◽  
Vol 79 (1) ◽  
pp. 59-76 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places ◽  
Class Fields

Quasirandom points and global function fields

1996 ◽  
pp. 269-296 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields
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