Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic
Copyright policy )Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic
We state and prove certain cases of the equivariant Tamagawa number conjecture of a semistable Abelian variety over an everywhere unramified finite Galois extension of a global field of characteristic p > 0 p>0 under a semisimplicity hypothesis.
- Normandie Université France
- University of Mons Belgium
- French National Centre for Scientific Research France
- University of Caen Lower Normandy France
- Sophia University Japan
Abelian varieties of dimension \(> 1\), Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Zeta functions and \(L\)-functions, Tamagawa number conjecture, Artin formalism, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], Iwasawa theory, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Abelian varieties of dimension \(> 1\), Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Zeta functions and \(L\)-functions, Tamagawa number conjecture, Artin formalism, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], Iwasawa theory, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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