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math.NT2018★ 7 cited
Local Langlands correspondence, local factors, and zeta integrals in analytic families
Daniel Disegni
We study the variation of the local Langlands correspondence for in characteristic-zero families. We establish an existence and uniqueness theorem for a corresponden…
math.NT2018★ 8 cited
On the non-vanishing of -adic heights on CM abelian varieties, and the arithmetic of Katz -adic -functions
Ashay Burungale, Daniel Disegni
Let be a simple CM abelian variety over a CM field , a rational prime. Suppose that has potentially ordinary reduction above and is self-dual with root number $-…