Noncommutative torsion conjecture for Selmer groups over strongly admissible extensions
Noncommutative torsion conjecture for Selmer groups over strongly admissible extensions
Let be a strongly admissible -adic Lie extension: it is Galois, contains the cyclotomic -extension, is unramified outside finitely many primes, and has no -torsion. Write and let be the Pontryagin dual of the Selmer group. Noncommutative torsion conjecture. The module is torsion over . This is the natural extension of the cyclotomic torsion conjecture to -adic Lie extensions; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Meng Fai Lim, “On order of vanishing of characteristic elements”, arXiv:2109.03985 (2022).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.