For ramified quadratic extensions, the paper introduces arithmetic transfer conjectures, proves them for n=1, and establishes structural results on exceptional divisors and correspondences.
Arzdorf, On local models with special parahoric level structure , Michigan Math
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More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case
For ramified quadratic extensions, the paper introduces arithmetic transfer conjectures, proves them for n=1, and establishes structural results on exceptional divisors and correspondences.