Abstract
We introduce the notion of finite slope families to encode the local properties of the -adic families of Galois representations appearing in the work of Harris, Lan, Taylor and Thorne on the construction of Galois representations for (non-self-dual) regular algebraic cuspidal automorphic representations of over CM fields. Our main result is to prove the analytic continuation of semistable (and crystalline) periods for such families.
Citation
Ruochuan Liu. "Semistable periods of finite slope families." Algebra Number Theory 9 (2) 435 - 458, 2015. https://doi.org/10.2140/ant.2015.9.435
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