On the modular elements and the Euler systems for an elliptic curve

The theorem also implies that all p-adic L-functions for elliptic curves at odd primes p of semi-stable ordinary reductions are integral elements in the Iwasawa algebra.. See

We define the elliptic Hecke algebras for arbitrary marked elliptic root systems in terms of the corresponding elliptic Dynkin diagrams and make a ‘dictionary’ between the elliptic

Let E /Q be a modular elliptic curve, and p > 3 a good ordinary or semistable prime.. Under mild hypotheses, we prove an exact formula for the µ-invariant associated to

Next we shall prove Lemma 3.. Then G=F' follows from Proposition 1. This completes the proof of Lemma 3. Let us consider the exact sequence.. r\

In Section 2 we recall some known works on the geometry of moduli spaces which include the degeneration of Riemann surfaces and hyperbolic metrics, the Ricci, perturbed Ricci and

As first applications of this approach, we derive, amongst other things, a proof of (a refinement of) a conjecture of Darmon concerning cyclotomic units, a proof of (a refinement

We provide invariant formulas for the Euler-Lagrange equation associated to sub-Riemannian geodesics.. They use the concept of curvature and horizontal connection introduced and

In the case of the Ariki–Koike algebra, that is, the Hecke algebra of the complex reflection group G(l, 1, n), they are Laurent polynomials whose factors determine when Specht