Cohomology of number fields

By J. Neukirch, Alexander Schmidt, Kay Wingberg. 2000

599 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/707edb027711fc34737ce44c0f0dd28633975bca

How researchers see this paper

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

In Geometry and Topology

1. David Geraghty
2. Jean-Pierre Wintenberger
3. Chandrashekhar B. Khare
4. Minhyong Kim
5. J. Thorne
6. T. Gee
7. Frank Calegari
8. James Newton

In Mathematical Physics

1. David Geraghty
2. Jean-Pierre Wintenberger
3. Chandrashekhar B. Khare
4. Minhyong Kim
5. T. Gee
6. J. Thorne
7. Frank Calegari
8. James Newton

Citations in the corpus

• Modularity lifting theorems for ordinary Galois representations (2018, background): “18 of [NSW08]) we can choose a surjection of Λb0-modules Λrb0 S ∨.”
• Serre’s modularity conjecture (II) (2009, background): “20 of [26]), taking into account the dimension of the local deformation rings, gives that the dimension of R̄S is ≥ 1.”
• On the two-variable Iwasawa main conjecture (2006, unknown): “8) in [NSW]) gives us an exact sequence: 0 −→ H(Qp,FA) −→ V −→ Z −→ 0, where V is a reflexive Hn.”
• The unipotent Albanese map and Selmer varieties for curves (2005, background): “Since the p-cohomological dimension of GT is 2 [26], we have a surjection”