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math.CO2022
Deep congruences + the Brauer-Nesbitt theorem
Samuele Anni, Alexandru Ghitza, Anna Medvedovsky
We prove that mod- congruences between polynomials in are equivalent to deeper -power congruences between power-sum functions of their roots. This result ge…
math.NT2022
On smooth plane models for modular curves of Shimura type
Samuele Anni, Eran Assaf, Elisa Lorenzo García
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such cur…