40 citations · 81 across the 6 of their papers we have counts for
8 papers
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…
The derived functors of unramified cohomology
Bruno Kahn, R. Sujatha
We study the first "derived functors of unramified cohomology" in the sense of arXiv:1506.08385 [math.AG], applied to the sheaves and . We find intere…
Birational motives, II: Triangulated birational motives
Bruno Kahn, R. Sujatha
We develop birational versions of Voevodsky's triangulated categories of motives over a field, and relate them with the pure birational motives studied in arXiv:0902.4902 [math.AG]…
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,…
Birational motives, I: pure birational motives
Bruno Kahn, R. Sujatha
This is a considerably expanded version of the "pure" part of our 2002 preprint. We define a category of pure birational motives over a field, depending on the choice of an adequat…
A few localisation theorems
Bruno Kahn, R. Sujatha
Given a functor carrying a class of morphisms into a class , we give sufficient conditions in order that induces an equivalence on the loc…
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})…