发表机构
Xiamen University（厦门大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明实约化群中Arthur参数的微局部包等于其两步Jordan诱导的支撑，通过正平移、perverse分解和相干延拓完成反向包含的证明。
AI 中文摘要
设$\psi$为实Arthur参数，$\psi_2$为固定Jordan分解中的幂单参数。Adams、Ionov、Mason-Brown和Vogan证明了$\psi$的微局部包包含于$\psi_2$的包的两步Jordan诱导的支撑中，并猜想其相等。我们证明了反向包含。论证首先过渡到充分正的平移，在此处ABV空间的相关连通分量具有共同的旗簇模型。Perverse分解将问题归结为奇异支撑蕴含，该蕴含由AIMV微茎比较背后的关联计算得出。对单个包成员的相干延拓随后将结果返回到原始参数。
英文摘要
Let $ψ$ be a real Arthur parameter and let $ψ_2$ be the unipotent parameter in a fixed Jordan decomposition. Adams, Ionov, Mason-Brown, and Vogan proved that the microlocal packet of $ψ$ is contained in the support of the two-step Jordan induction of the packet of $ψ_2$, and conjectured equality. We prove the reverse inclusion. The argument first passes to a sufficiently positive translate, where the relevant connected components of the ABV spaces have a common flag-variety model. Perverse devissage reduces the problem to a singular-support implication, which follows from the incidence calculation underlying the AIMV microstalk comparison. Coherent continuation for individual packet members then returns the result to the original parameter.
Comments14 pages. Comments welcome
