Abstract
Let π∶X→S be a holomorphic map, and let R⊂X×SX be an equivalence relation. The restriction of R to the fibre π−1(S) is denoted by Rs. The quotient X/R is called a relative complex quotient, if the quotient map X→X/R is holomorphic over S. Two cases are studied: (C) All fibres of π are locally Rs-separable (relative Cartan quotient); (R) All fibres of π are holomorphically convex, and Rs is given by tke holomorphic functions on π−1 (s) (relative Remmert quotient).
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