A general method of constructing global function fields with many rational places

1998 ◽  
pp. 555-566 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places ◽  
General Method

GLOBAL FUNCTION FIELDS WITH MANY RATIONAL PLACES OVER THE QUINARY FIELD

1997 ◽  
Vol 30 (4) ◽  
pp. 919-930 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places

scholarly journals Explicit global function fields over the binary field with many rational places

1996 ◽  
Vol 75 (4) ◽  
pp. 383-396 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Binary Field ◽  
Global Function Fields ◽  
Rational Places

scholarly journals Global function fields with many rational places over the ternary field

1998 ◽  
Vol 83 (1) ◽  
pp. 65-86 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places ◽  
Ternary Field

scholarly journals Global function fields with many rational places over the quinary field. II

1998 ◽  
Vol 86 (3) ◽  
pp. 277-288
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places

scholarly journals Independence of algebraic monodromy groups in compatible systems

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Federico Amadio Guidi
Keyword(s):  
Galois Representations ◽  
Global Function ◽  
Irreducible Decomposition ◽  
Global Function Fields ◽  
Normal Varieties ◽  
Independence Result ◽  
Monodromy Groups ◽  
Independence Results ◽  
Lisse Sheaves ◽  
General Method

AbstractIn this paper we develop a general method to prove independence of algebraic monodromy groups in compatible systems of representations, and we apply it to deduce independence results for compatible systems both in automorphic and in positive characteristic settings. In the abstract case, we prove an independence result for compatible systems of Lie-irreducible representations, from which we deduce an independence result for compatible systems admitting what we call a Lie-irreducible decomposition. In the case of geometric compatible systems of Galois representations arising from certain classes of automorphic forms, we prove the existence of a Lie-irreducible decomposition. From this we deduce an independence result. We conclude with the case of compatible systems of Galois representations over global function fields, for which we prove the existence of a Lie-irreducible decomposition, and we deduce an independence result. From this we also deduce an independence result for compatible systems of lisse sheaves on normal varieties over finite fields.

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