Drinfeld modular rational cuspidal torsion conjecture
Drinfeld modular rational cuspidal torsion conjecture
Let be a finite field, let , and let . For a monic , let be the Drinfeld modular curve over , let be its Jacobian, let be the cuspidal subgroup, and let . Let be the rational cuspidal divisor class group, consisting of classes of -rational divisors fixed by the absolute Galois group of . Drinfeld modular rational cuspidal torsion conjecture. For every monic ,
The inclusions are established in the context, and this conjecture predicts equality throughout. Its resolution is not specified in the supplied source.
Sources & referencesView supporting material
Primary source
Mar Curcó-Iranzo, “Rational torsion of generalised Drinfeld modular Jacobians of prime power level”, arXiv:2412.14313 (2025).
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