Analytic families of finite-slope Selmer groups

80 citations recorded by the source corpus.

How researchers see this paper

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

Rankin–Eisenstein classes in Coleman families (2015, background): “Since the group G has excellent finiteness properties (unlike its subgroupH ), we have the general finite-generation and base-change results of [29] at our disposal.”
Cohomology of arithmetic families of (,Γ)-modules (2012, methodology): “As explained in [42], the reducibility of trianguline families can be exploited to form analogues of Greenberg’s families of Selmer groups for nonordinary families of Galois representations; the finiteness of cohomology also intervenes in a crucial way to guarantee their”
A generalization of Greenberg's L-invariant (2011, background): “In a recent preprint Pottharst [Pt] shows that the Bloch-Kato group H1f (Qp,V ) can be described in terms of Greenberg’s local conditions coming from suitable triangulations of D†rig(V ).”