Euler characteristics and elliptic curves II
By John Coates, S. Howson. 2001
79 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5eee357ab80e586d68c177d5ed2a9e8113e43550
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- MODULES OVER IWASAWA ALGEBRAS (2001, background): “We mention in passing that it is not always true that X(E/F∞) is finitely generated over Λ(H) (many examples are known, see [11], where X(E/F cyc) has positive μ-invariant, and for these examples X(E/F∞) cannot be finitely generated over Λ(H)).”
- On the structure theory of the Iwasawa algebra of a p-adic Lie group (2001, unknown): “[16], [10], [9]).”
- Euler Characteristics as Invariants of Iwasawa Modules (2002, background): “8 with an example expanding upon one considered in [6].”
- Links Between Cyclotomic and GL2 Iwasawa Theory (2003, background): “2 is that we can establish it without knowing the surjectivity of λS(F∞) (in our present state of knowledge [4], to prove the surjectivity of λS(F∞) we must assume hypotheses (i) and (ii) of Theorem 2.”
- The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication (2004, background): “Then X(E/F∞) is a finitely generated Λ(G)-module, and it is proven in [8] that X(E/F∞) is finitely generated over Λ(H).”
- Computations in non‐commutative Iwasawa theory (2005, unknown): “A formula for χna of E over number fields in Q(E[5 ∞]) has been worked out in Coates-Howson [10], Theorem 1.1.”
- Fine Selmer groups of elliptic curves over p-adic Lie extensions (2005, background): “When E does not have complex multiplication, the finite generation of X(E/F∞) over (H) is proven in [2], and the fact that the (H)-torsion submodule is zero is proven in [21].”