Shilov boundaries determine irreducible bounded symmetric domains

2020/07/12 by Chirvasitu, Alexandru
#32M15 #57T15 #57T20 #Algebraic Topology (math.AT) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.05930

Abstract

We prove that irreducible symmetric domains are uniquely determined by the homotopy equivalence classes of their Shilov boundaries.

Related

• Formal Embeddings between BSD-Models
• Rigidity of proper quasi-homogeneous domains in positive flag manifolds
• Orbits of triples in the Shilov boundary of a bounded symmetric domain
• Rigidity of holomorphic maps between Shilov boundaries of type-I bounded symmetric domains
• Totally geodesic discs in bounded symmetric domains