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19962024
most citedEuler systems for GSp(4)

39 citations · 205 across the 16 of their papers we have counts for

collaborators

17 papers

math.NT2024

Anti-cyclotomic Euler system of diagonal cycles

Shilin Lai, Christopher Skinner

We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1…

math.NT2023★ 3 cited

Mazur's main conjecture at Eisenstein primes

Francesc Castella, Giada Grossi, Christopher Skinner

Let be an elliptic curve, let be a prime of good reduction for , and assume that admits a rational -isogeny with kernel . In this pa…

math.NT2020★ 11 cited

An Euler system for GU(2, 1)

David Loeffler, Christopher Skinner, Sarah Livia Zerbes

We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL(3) over imaginary quadratic fields, using t…

math.NT2020★ 17 cited

On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes

Francesc Castella, Giada Grossi, Jaehoon Lee +1

Let be an elliptic curve, and a prime where has good reduction, and assume that admits a rational -isogeny. In this paper, we study the anticyclotomic…

math.NT2019★ 26 cited

Higher Hida theory and p-adic L-functions for GSp(4)

David Loeffler, Vincent Pilloni, Christopher Skinner +1

We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent…

math.NT2018★ 11 cited

On the Iwasawa main conjectures for modular forms at non-ordinary primes

Francesc Castella, Mirela Çiperiani, Christopher Skinner +1

In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight at non-ordinary primes. Our proof is based on th…