Abstract
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We form a conjecture about the multiplicities for general strongly tempered spherical
varieties without type N root. This generalizes the epsilon dichotomy conjectures of
Gan et al. (2012) and Wan and Zhang (2022).
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Keywords
local multiplicity of spherical varieties, strongly
tempered spherical varieties, epsilon dichotomy
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Mathematical Subject Classification
Primary: 22E30, 22E35, 22E50
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Milestones
Received: 18 February 2025
Revised: 24 April 2025
Accepted: 25 April 2025
Published: 3 June 2025
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© 2025 MSP (Mathematical Sciences
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