REMARKS ON A CONJECTURE OF FONTAINE AND MAZUR

By Richard Taylor. Journal of the Institute of Mathematics of Jussieu, 2002

124 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A Family of Calabi–Yau Varieties and Potential Automorphy II (2011, unknown): “The papers [ T1 ] and [T2] relied on the study of certain moduli spaces of”
An introduction to the theory of p-adic representations (2002, background): “There is little known in that direction, but there is some evidence in dimension 2: see Taylor’s [83].”
Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications (2009, unknown): “When F + = Q it was proved in the series of papers initiated by Wiles and Taylor-Wiles and completed by Breuil, Conrad, Diamond, and Taylor that L(s, ρE,l) is automorphic, which in this case means is attached to a classical new form of weight 2. The prototype for Theorem 2.1 is the theorem proved by”
On Serre's conjecture for 2-dimensional mod p representations of Gal( Q=Q) (2009, methodology): “4, of [51] which use results of Carayol and Blasius-Rogawski ([12], [5]).”
On the Sato-Tate conjecture for non-generic abelian surfaces (2013, background): “nction and its various incomplete/partial L-functions. ON THE SATO-TATE CONJECTURE FOR NON-GENERIC ABELIAN SURFACES 5 This should hopefully not cause any confusion. The basic strategy, due to Taylor ([Tay], see also [HSBT]), for proving these sorts of analytic results is to combine potential automor”