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math.NT2026
Post-critically finite polynomials over cyclotomic closures of number fields
Patrick Ingram, Jorge Mello
We prove that, for any number field K and and d at least 2, there are at most finitely many monic, centred, post-critically finite polynomials of degree d with coefficients in the…
math.NT2026
On the classification of small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +1
We give a general classification theorem for cyclotomic algebraic integers with all complex absolute values bounded by a fixed constant , modeled on the theorem of Cassels which…
math.AG2026
Hierarchical Locally Recoverable Codes on surfaces
Carolina Araujo, Luana Costa, Beth Malmskog +4
We construct locally recoverable codes with hierarchy from surfaces in admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…