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arxiv: 2210.09193 · v2 · pith:RZK3FM7Dnew · submitted 2022-10-17 · 🧮 math.RT · math.AG

Quasi-Tempered Automorphic D-modules

classification 🧮 math.RT math.AG
keywords d-modulesautomorphiccategoryquasi-temperedcategoricalcertaincharacterizationclass
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In this paper, we introduce the category of quasi-tempered automorphic D-modules, which is a rather natural class of D-modules from the point of view of geometric Langlands. We provide a characterization of this category in terms of singular support, and as a consequence, we obtain certain microlocal categorical K\"unneth formulas.

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