34 citations · 42 across the 11 of their papers we have counts for
13 papers · 1 filter
On the level p weight 2 case of Serre's conjecture
Luis Dieulefait
This brief note only contains a modest contribution: we just fix some inaccuracies in the proof of the prime level weight 2 case of Serre's conjecture given in Khare's preprint "On…
Improvements on Dieulefait-Manoharmayum and applications
Luis V. Dieulefait
We improve the results in a previous article of Dieulefait and Manoharmayum and we deduce some stronger modularity results. In particular we deduce that any rigid Calabi-Yau threef…
Appendix to: The level 1 weight 2 case of Serre's conjecture - a strategy for a proof
Luis Dieulefait
In this appendix, we observe that our March preprint on Serre's conjecture was indeed correct: the only "missing argument" follows automatically from a result of Bockle and Ramakri…
On abelian surfaces with potential quaternionic multiplication
Luis Dieulefait, Victor Rotger
An abelian surface A over a field K has potential quaternionic multiplication if the ring End_\bar K (A) of geometric endomorphisms of A is an order in an indefinite rational divis…
Existence of non-elliptic mod l Galois representations for every l >5
Luis Dieulefait
For and 5 it is known that every odd, irreducible, 2-dimensional representation of $\Gal(\bar{\Q}/\Q)$ with values in $\F_\ell$ and determinant equal to the cyclotomic c…
Computing the level of a modular rigid Calabi-Yau threefold
Luis Dieulefait
In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we reca…