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most citedA Pila--Wilkie theorem for Hensel minimal curves

3 citations

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math.NT2026

Conductor exponents for families of hyperelliptic curves

Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2

The paper computes conductor exponents at odd primes for three infinite families of hyperelliptic curves using cluster picture techniques, providing an alternative approach to prev…

math.NT2026★ 3 cited

A Pila--Wilkie theorem for Hensel minimal curves

Victoria Cantoral-Farfán, Kien Huu Nguyen, Mathias Stout +1

Recently, a new axiomatic framework for tameness in henselian valued fields was developed by Cluckers, Halupczok, Rideau-Kikuchi and Vermeulen and termed Hensel minimality. In this…

math.NT2026

Hirzebruch-Zagier cycles in -adic families and adjoint -values

Antonio Cauchi, Marc-Hubert Nicole, Giovanni Rosso

Let be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be…

math.NT2026

A Jacquet-Langlands functor for -adic locally analytic representations

Gabriel Dospinescu, Juan Esteban Rodríguez Camargo

We study the locally analytic theory of infinite level local Shimura varieties. As a main result, we prove that in the case of a duality of local Shimura varieties, the locally ana…

math.NT2026

A Normality Conjecture on Rational Base Number Systems

Mélodie Andrieu, Shalom Eliahou, Léo Vivion

The rational base number system, introduced by Akiyama, Frougny, and Sakarovitch in 2008, is a generalization of the classical integer base number system. Within this framework two…