40 citations · 81 across the 6 of their papers we have counts for
4 papers · 1 filter
Period-index in top cohomology over semiglobal fields
Sarah Dijols, Raman Parimala, Ramdorai Sujatha +1
We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over…
Non-commutative Iwasawa theory for modular forms
John Coates, Tim Dokchitser, Zhibin Liang +2
The aim of the present paper is to give evidence, largely numerical, in support of the non-commutative main conjecture of Iwasawa theory for the motive of a primitive modular form…
The Tate-Shafarevich group for elliptic curves with complex multiplication II
J. Coates, Z. Liang, R. Sujatha
Let E be an elliptic curve over Q with complex multiplication. The aim of the present paper is to strengthen the theoretical and numerical results of \cite{CZS}. For each prime p,…
Computations in non-commutative Iwasawa theory
Tim Dokchitser, Vladimir Dokchitser
We study special values of L-functions of elliptic curves over Q twisted by Artin representations that factor through a false Tate curve extension $Q(μ_p^\infty,\sqrt[p^\infty]{m})…