EQUIVARIANT TAMAGAWA NUMBER CONJECTURE FOR ABELIAN VARIETIES OVER GLOBAL FIELDS OF POSITIVE CHARACTERISTIC

Fabien Trihan (1) , David Vauclair (2)

1 Institut de Mathématiques [Mons]
2 LMNO - Laboratoire de Mathématiques Nicolas Oresme

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 under a semisimplicity hypothesis.

Domains: Number Theory [math.NT]

Fabien Trihan, David Vauclair. EQUIVARIANT TAMAGAWA NUMBER CONJECTURE FOR ABELIAN VARIETIES OVER GLOBAL FIELDS OF POSITIVE CHARACTERISTIC. Proceedings of the American Mathematical Society, In press, ⟨10.1090/proc/14417⟩. ⟨hal-02144349⟩