13 citations · 23 across the 8 of their papers we have counts for
7 papers · 1 filter
On categories of (phi, Gamma)-modules
Kiran S. Kedlaya, Jonathan Pottharst
Let K be a complete discretely valued field of mixed characteristics (0, p) with perfect residue field. One of the central objects of study in p-adic Hodge theory is the category o…
The -invariant, the dual -invariant, and families
Jonathan Pottharst
Given a rank two trianguline family of -modules having a noncrystalline semistable member, we compute the Fontaine--Mazur -invariant of that member in terms of…
On the parity conjecture in finite-slope families
Jonathan Pottharst, Liang Xiao
We generalize to the finite-slope setting several techniques due to Nekovar concerning the parity conjecture for self-dual motives. In particular we show that, for a -adic analy…
Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II
Robert Harron, Jonathan Pottharst
Continuing the study of the Iwasawa theory of symmetric powers of CM modular forms at supersingular primes begun by the first author and Antonio Lei, we prove a Main Conjecture equ…
Cohomology of arithmetic families of (phi,Gamma)-modules
Kiran S. Kedlaya, Jonathan Pottharst, Liang Xiao
We prove the finiteness and compatibility with base change of the (phi,Gamma)-cohomology and the Iwasawa cohomology of arithmetic families of (phi,Gamma)-modules. Using this finite…
Triangulordinary Selmer Groups
Jonathan Pottharst
Let be a prime number, and let be a -adic local field. We study a class of semistable -adic Galois representations of , which we call {\it triangulordinary} becaus…