Families of Canonical Local Periods on Spherical Varieties

Abstract

We consider the variation of canonical local periods on spherical varieties proposed by Sakellaridis-Venkatesh in families. We formulate conjectures for the rationality and meromorphic property of canonical local periods and establish these conjectures for strongly tempered spherical G-varieties without type N-roots when G is split.

arXiv commentTo appear in Math. Ann

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