椭圆Fargues-Scholze L-包的端面分解
代数几何
2025-11-04 v3 数论
表示论
摘要
本文的主要目标是证明Fargues-Scholze [FS]对应的局部L-包（对应于一个椭圆L参数）具有端面分解。我们的论证深受陈吉付[Fu]一篇优美论文的启发，其中稳定情形已被证明。为将我们的结果置于更一般的语境中，我们还在复数域上构造了一般端面分解，基于Arthur的结果，并基于近期工作[KSV]将该分解推广到任意特征零的代数闭域上。
引用
@article{arxiv.2503.00621,
title = {Endoscopic decomposition of elliptic Fargues-Scholze L-packets},
author = {David Kazhdan and Yakov Varshavsky},
journal= {arXiv preprint arXiv:2503.00621},
year = {2025}
}
备注
v.3, 23 pages. Revised version. Section 3 have been almost completely rewritten and became more natural, main result has been slightly strengthened, an endoscopic decomposition over an arbitrary algebraically closed field of characteristic zero is now unconditional due to a recent work [KSV]