4 citations · 6 across the 8 of their papers we have counts for
8 papers
The de Rham and the syntomic logarithm
Matthias Flach, Achim Krause, Baptiste Morin
We define and study an integral refinement of the inverse of the Bloch-Kato exponential map which we call the de Rham logarithm. Our main tool to analyze the de Rham logarithm is t…
Adjoint motives of modular forms and the Tamagawa number conjecture
Fred Diamond, Matthias Flach, Li Guo
Let be a newform of weight , level with coefficients in a number field , and the adjoint motive of the motive associated to . We carefully discuss th…
The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication
Ashay Burungale, Matthias Flach
Let be an elliptic curve over a number field with complex multiplication by the ring of integers in an imaginary quadratic field . We give a complete proof of the conj…
Compatibility of Special value conjectures with the functional equation of Zeta functions
Matthias Flach, Baptiste Morin
We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the func…
Special Values of the Zeta Function of an Arithmetic Surface
Matthias Flach, Daniel Siebel
We study the special value conjecture for the Zeta function of a proper regular arithmetic scheme X introduced by Flach and Morin in the case n=1. We compute the correction factor…
Weil-étale cohomology and Zeta-values of proper regular arithmetic schemes
Matthias Flach, Baptiste Morin
We give a conjectural description of the vanishing order and leading Taylor coefficient of the Zeta function of a proper, regular arithmetic scheme at any integer …