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The proof that flat maps are open in the complex-analytic category can be found in

C. Bănică, O. Stănăşilă: Algebraic methods in the global theory of complex spaces, Theorem 2.12 p. 180.

See also my answer to MO question 41158.

A reference for the fact that flat maps are open in the complex-analytic category is Theorem 2.12, p. 180 in

C. Bănică, O. Stănăşilă: Algebraic methods in the global theory of complex spaces.

See also my answer to MO question 41158.

The proof for opennes of flat maps in the complex-analytic category can be found in

C. Banica - O.Stanasila, Algebraic methods in the global theory of Complex Spaces, Theorem 2.12 p. 180.

See also my answer to MO question 41158.

The proof that flat maps are open in the complex-analytic category can be found in

C. Bănică, O. Stănăşilă: Algebraic methods in the global theory of complex spaces, Theorem 2.12 p. 180.

See also my answer to MO question 41158.

The proof for opennes of flat maps in the complex-analytic category can be found in

Banica-Stanasila, Algebraic methods in the global theory of Complex Spaces, Theorem 2.12 p. 180.

See my answer to MO question 41158.

The proof for opennes of flat maps in the complex-analytic category can be found in

C. Banica  - O.Stanasila, Algebraic methods in the global theory of Complex Spaces, Theorem 2.12 p. 180.

See also my answer to MO question 41158.