arXiv Analytics

Sign in

arXiv:1209.5309 [math.NT]AbstractReferencesReviewsResources

Minimal modularity lifting for GL2 over an arbitrary number field

David Hansen

Published 2012-09-24, updated 2013-07-04Version 3

We prove a modularity lifting theorem for minimally ramified deformations of two-dimensional odd Galois representations, over an arbitrary number field. The main ingredient is a generalization of the Taylor-Wiles method in which we patch complexes rather than modules.

Comments: 8 pages; final version, to appear in Math. Res. Letters
Categories: math.NT, math.AC
Related articles: Most relevant | Search more
arXiv:1511.05108 [math.NT] (Published 2015-11-16)
Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction
arXiv:2007.10949 [math.NT] (Published 2020-07-21)
Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields
arXiv:1902.09712 [math.NT] (Published 2019-02-26)
Sarnak's Conjecture for nilsequences on arbitrary number fields and applications

Links

Toolbox