4 citations · 6 across the 7 of their papers we have counts for
7 papers
Derived Bockstein regulators and anticyclotomic -adic Birch and Swinnerton-Dyer conjectures
Takamichi Sano
We introduce "derived Bockstein regulators" by using an idea of Nekovář. We establish a general descent formalism involving derived Bockstein regulators. We give three applications…
On the theory of higher rank Euler, Kolyvagin and Stark systems
David Burns, Takamichi Sano
Mazur and Rubin have recently developed a theory of higher rank Kolyvagin and Stark systems over principal artinian rings and discrete valuation rings. In this article we describe…
On Stark elements of arbitrary weight and their -adic families
David Burns, Masato Kurihara, Takamichi Sano
We develop a detailed arithmetic theory related to special values at arbitrary integers of the Artin -series of linear characters. To do so we define canonical generalized Stark…
On zeta elements for
David Burns, Masato Kurihara, Takamichi Sano
In this paper, we present a unifying approach to the general theory of abelian Stark conjectures. To do so we define natural notions of `zeta element', of `Weil-étale cohomology co…
On a conjecture for Rubin-Stark elements in a special case
Takamichi Sano
We prove a conjecture on Rubin-Stark elements, which was recently proposed by the author, and also by Mazur and Rubin, in a special case.
Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns
Takamichi Sano
We formulate a conjecture which generalizes Darmon's "refined class number formula". We discuss relations between our conjecture and the equivariant leading term conjecture of Burn…