Sören Kleine

most citedFine Selmer groups of congruent

p

-adic Galois representations

4 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2021★ 3 cited

Fine Selmer groups and ideal class groups

Sören Kleine, Katharina Müller

Let $K_{\infty} / K$ be a uniform $p$ -adic Lie extension. We compare several arithmetic invariants of Iwasawa modules of ideal class groups on the one side and fine Selmer groups of ab…

math.NT2021★ 4 cited

Fine Selmer groups of congruent $p$ -adic Galois representations

Sören Kleine, Katharina Müller

We compare the Pontryagin duals of fine Selmer groups of two congruent $p$ -adic Galois representations over admissible pro- $p$ , $p$ -adic Lie extensions $K_{\infty}$ of number fields…

math.NT2021★ 2 cited

On the Gross order of vanishing conjecture for large vanishing orders

Martin Hofer, Sören Kleine

We prove the Gross order of vanishing conjecture in special cases where the vanishing order of the character in question can be arbitrarily large. In almost all previously known ca…

Fine Selmer groups and ideal class groups

Fine Selmer groups of congruent p-adic Galois representations

On the Gross order of vanishing conjecture for large vanishing orders

Fine Selmer groups of congruent $p$ -adic Galois representations