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math.NT2026
Resolutions of spaces of crystalline representations and modularity
Robin Bartlett, Bao V. Le Hung, Brandon Levin
We introduce a new partial resolution of crystalline spaces of Galois representations when the gaps in Hodge--Tate weights are smaller than , with no bound on ramification. Furt…
math.NT2026
Galois representation of the product of two Drinfeld modules of generic characteristic
Lian Duan, Jiangxue Fang
In this paper, we study the Galois representations attached to products of Drinfeld modules. As a function-field analogue of Serre's classical open image theorem for products of el…