@techreport{fa65d85a90c9427ca259ce5f08da7e66,

title = "A short proof of Hironaka's Theorem on freeness of some Hecke modules",

abstract = "Let E/F be an unramified extension of non-archimedean local fields of residual characteristic different than 2. We provide a simple geometric proof of a variation of a result of Hironaka ([Hir99]). Namely we prove that the module S(X)K0 is free over the Hecke algebra H(SLn(E), SLn(OE)), where X is the space of unimodular Hermitian forms on En and OE is the ring of integers in E.",

keywords = "Mathematics - Representation Theory",

author = "Avraham Aizenbud and Eitan Sayag",

year = "2017",

month = sep,

day = "24",

language = "English",

series = "Arxiv Math. RT",

publisher = "arXiv:1709.08214 [math.RT]",

type = "WorkingPaper",

institution = "arXiv:1709.08214 [math.RT]",

}