Families of canonical local periods on spherical varieties

Li Cai; Yangyu Fan

doi:10.1007/s00208-023-02642-6

Families of canonical local periods on spherical varieties

Li Cai, Yangyu Fan^*

^*Corresponding author for this work

Capital Normal University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	209-252
Number of pages	44
Journal	Mathematische Annalen
Volume	389
Issue number	1
DOIs	https://doi.org/10.1007/s00208-023-02642-6
Publication status	Published - May 2024
Externally published	Yes

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title = "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.",

author = "Li Cai and Yangyu Fan",

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AB - 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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Families of canonical local periods on spherical varieties

Abstract

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