The Iwasawa Main Conjectures for GL2

By C. Skinner, E. Urban. 2014

329 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9a2aa16e15354db4b4c67d76a4ee805a3bbc13bb

How researchers see this paper

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

In Algebra and Number Theory

1. C. Skinner
2. X. Wan
3. Wei Zhang

In Geometry and Topology

1. C. Skinner
2. X. Wan
3. Wei Zhang
4. Chong-Quan Zhang

In Mathematical Physics

1. C. Skinner
2. X. Wan
3. Wei Zhang
4. Chong-Quan Zhang
5. H. Grobner
6. Michael Harris

Citations in the corpus

• Iwasawa Main Conjecture for Supersingular Elliptic Curves (2014, methodology): “In fact Kato proves one divisibility by constructing an Euler system while Skinner-Urban ([20]) proves the other divisibility using Eisenstein congruences on the larger unitary group U(2, 2).”
• Selmer groups and the indivisibility of Heegner points (2014, methodology): “Skinner–Urban and Kato [37, Theorem 2] have proved the p-part of the B-SD formula in the rank zero case for any good ordinary p with certain conditions (less restrictive than ours).”
• THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS (2015, unknown): “Many of our arguments are straightforward generalizations of [44].”
• Multiplicative reduction and the cyclotomic main conjecture for GL2 (2014, methodology): “That work should provide another means for deducing Theorem B in the case p | N from the main results2 in [Skinner and Urban 2014] as well as some additional weakening of the conditions on primes away from p.”