# Organizing Matrices for Arithmetic Complexes

@article{Burns2013OrganizingMF,
title={Organizing Matrices for Arithmetic Complexes},
author={David Burns and Daniel Macias Castillo},
journal={International Mathematics Research Notices},
year={2013},
volume={2014},
pages={2814-2883}
}
• Published 10 February 2013
• Mathematics
• International Mathematics Research Notices
13 Citations
On non-abelian higher special elements of p-adic representations
• Mathematics
Israel Journal of Mathematics
• 2022
We develop a theory of ‘non-abelian higher special elements’ in the non-commutative exterior powers of the Galois cohomology of p -adic representations. We explore their relation to the theory of
On Higher Special Elements of p-adic Representations
• Mathematics
• 2018
As a natural generalisation of the notion of “higher rank Euler system”, we develop a theory of “higher special elements” in the exterior power biduals of the Galois cohomology of $p$-adic
Congruences for critical values of higher derivatives of twisted Hasse–Weil L-functions, III
• Mathematics
Mathematical Proceedings of the Cambridge Philosophical Society
• 2021
Let A be an abelian variety defined over a number field k, let p be an odd prime number and let $F/k$ be a cyclic extension of p-power degree. Under not-too-stringent hypotheses we give
Congruences for critical values of higher derivatives of twisted Hasse–Weil $L$-functions, II
Let A be an abelian variety de ned over a number eld k, let p be an odd prime number and let F/k be a cyclic extension of p-power degree. Under not-too-stringent hypotheses we give an interpretation
On non-commutative Euler systems
• Mathematics
• 2020
Let $p$ be a prime, $T$ a $p$-adic representation over a number field $K$ and $\mathcal{K}$ an arbitrary Galois extension of $K$. Then for each non-negative integer $r$ we define a natural notion of
On special elements for p-adic representations and higher rank Iwasawa theory at arbitrary weights
In this thesis, we develop a theory of special elements in the higher exterior powers (or, more precisely, in the higher exterior power biduals) of the Galois cohomology of general p-adic
Annihilating wild kernels
Let $L/K$ be a finite Galois extension of number fields with Galois group $G$. Let $p$ be an odd prime and $r>1$ be an integer. Assuming a conjecture of Schneider, we formulate a conjecture that
On the Galois Structure of Selmer Groups
• Mathematics
• 2015
Let A be an abelian variety defined over a number field k and F a finite Galois extension of k. Let p be a prime number. Then under certain not-too-stringent conditions on A and F, we investigate the
On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil L-functions
• Mathematics
• 2015
Let A be an abelian variety defined over a number field k and let F be a finite Galois extension of k. Let p be a prime number. Then under certain not-too-stringent conditions on A and F we compute

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