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A conjecture on multiplicities for strongly tempered spherical varieties

Chen Wan and Lei Zhang

Vol. 337 (2025), No. 2, 339–363
Abstract

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).

Keywords
local multiplicity of spherical varieties, strongly tempered spherical varieties, epsilon dichotomy
Mathematical Subject Classification
Primary: 22E30, 22E35, 22E50
Milestones
Received: 18 February 2025
Revised: 24 April 2025
Accepted: 25 April 2025
Published: 3 June 2025
Authors
Chen Wan
Department of Mathematics & Computer Science
Rutgers University - Newark
Newark, NJ
United States
Lei Zhang
Department of Mathematics
National University of Singapore
Singapore

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