Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
| Autor: | Mihatsch, Andreas |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity in question to an AFL identity in lower dimension. The main ingredient for this reduction is a comparison isomorphism between different moduli problems of PEL-type for p-divisible groups. The construction of this comparison isomorphism is based on the theory of relative displays and frames, as developed by Tobias Ahsendorf, Eike Lau and Thomas Zink. Comment: The article is now formulated uniformly for strict formal $\mathcal{O}_K$-modules. In particular, Chapters 2 and 3 were merged. We also added Lemma 6.1 on the finiteness of the intersection product. Various typos were corrected and some editorial changes made |
| Databáze: | arXiv |
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