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math.NT2026
Torsion-vanishing for Siegel modular varieties via supercuspidal congruences
Ana Caraiani, Sug Woo Shin
We prove that the generic part of the cohomology of Siegel modular varieties with torsion coefficients is concentrated above the middle degree, under a suitable notion of genericit…
math.NT2026
To be or not to be local
Christophe Breuil, Florian Herzig, Yongquan Hu +4
Let be a prime number and a finite unramified extension of . For a smooth representation of occurring in some Hecke eigenspace of the m…