2025/11/20 by Galarraga, Alexander, Wang, Alexander
Mathematics · #Algebraic Geometry and Number Theory #advanced mathematical theories #Advanced Topology and Set Theory
paper · doi:10.48550/arxiv.2511.15951
Let K be a discretely valued Henselian field. Creutz and Viray show that the degree set of a curve C over a p-adic field can miss infinitely many multiples of the index of C, a phenomenon that cannot occur over finitely generated fields. For curves C/K with a cyclic cover of ℙ1 of prime degree, under mild assumptions, we completely characterize how and when this behavior can occur, and give a method for computing degree sets of curves of this type.