Rigidity of proper holomorphic maps between type-I irreducible bounded symmetric domains

2020/09/27 by Shan Tai Chan, Chan, Shan Tai · 1 citation
Mathematics · #Holomorphic and Operator Theory #Analytic and geometric function theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2009.12803

Abstract

We study proper holomorphic maps between type-I irreducible bounded symmetric domains. In particular, we obtain rigidity results for such maps under certain assumptions. More precisely, let f:D^I_p,q→ D^I_p',q' be a proper holomorphic map, where p≥ q≥ 2 and q'

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• Rigidity of holomorphic maps between Shilov boundaries of type-I bounded symmetric domains

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