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.
Families of canonical local periods on spherical varieties / L. Cai, Y. Fan. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 389:1(2024), pp. 209-252. [10.1007/s00208-023-02642-6]
Families of canonical local periods on spherical varieties
Y. Fan
Ultimo
2024
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.
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