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Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ⩾ 2

Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ⩾ 2

We obtain rigidity results on arbitrary proper holomorphic maps F from an irreducible bounded symmetric domain Ω of rank ⩾ 2 into any complex space Z. After lifting to the normalization of the subvariety F(Ω) ⊂ Z, we prove that F must be the canonical projection map to the quotient …