2021 - 2026 Class number formula over global field of characteristic p and with coefficients.
2015 - 2019 Geometric Iwasawa Theory
論文 (23件):
King Fai Lai, Ignazio Longhi, Takashi Suzuki, Ki Seng Tan, Fabien Trihan. On the μ-invariants of abelian varieties over function fields of positive characteristic. Algebra and Number Theory. 2021. 15. 4. 863-907
Fabien Trihan, David Vauclair. Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic. Proceedings of the American Mathematical Society. 2021. 149. 9. 3601-3611
Trihan Fabien, Vauclair, David. On the non commutative Iwasawa main conjecture for abelian varieties over function fields. Documenta mathematica. 2019. 24. 473-522
King Fai Lai, Ignazio Longhi, Ki-Seng Tan, Fabien Trihan. Pontryagin duality for iwasawa modules and abelian varieties. Transactions of the American Mathematical Society. 2018. 370. 3. 1925-1958
Arithmetic Geometry over Global Function Fields (Advanced Courses in Mathematics - CRM Barcelona)
Birkhäuser , Springer 2014 ISBN:9783034808521
Arithmetic Geometry over Global Function Fields (Advanced courses in mathematics CRM Barcelona) "On Geometric Iwasawa Theory and Special Values of Zeta Functions "
Birkhäuser , Springer 2014 ISBN:9783034808521