Rubin–Stark conjecture for function fields
Rubin–Stark conjecture for function fields
Let be the Galois group in the setup, let be the relevant group of -units, and let be the regulator map associated with . Write for the subgroup of on which vanishes for every character with . Rubin–Stark conjecture. There exists an such that
This is Rubin's proposed integral refinement of Stark's conjecture, relating the leading term of an equivariant -function to an exterior product of units. The source does not state whether the conjecture is resolved.
Sources & referencesView supporting material
Primary source
Ki-Seng Tan, “Generalized Stark formulae over function fields”, arXiv:math/0701061 (2007).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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