4 papers
On Selmer complexes, Stark systems and derived -adic heights
Daniel Macias Castillo, Takamichi Sano
We develop the theory of NekováÅ's Selmer complexes. We prove that, under mild hypotheses, NekováÅ's Selmer complexes are canonically quasi-isomorphic to ``Poitou-Tate complexe…
On refined nonvanishing conjectures by Kurihara and Kolyvagin
Francesc Castella, Takamichi Sano
In this paper, we extend the results of \cite{BCGS} on refined conjectures by Kurihara and Kolyvagin, allowing primes of any reduction type in the case of Kurihara's conjectures, a…
On the Tamagawa number conjecture for modular forms twisted by anticyclotomic Hecke characters
Takamichi Sano
Let be a normalized newform of weight which is good at . Let be an imaginary quadratic field of class number one in which every prime divisor of…
On Lubin-Tate regulator maps and Kato's explicit reciprocity law
Takamichi Sano, Otmar Venjakob
We extend the interpolation property of the Lubin-Tate regulator map from [SV24] to Artin characters and show a reciprocity law in the sense of Cherbonnier-Colmez. This allows us t…