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Dmitri Pavlov
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The original source for the modern version is

H.Grauert and R. Remmert, Komplexe RaumeRäume, Math.Ann. 136 (1958), 245–318.

I don't know of an exposition in English.

The version due to Riemann was just for algebraic curves. This is covered in many sources; my favorite is Narasimhan's book "Compact Riemann Surfaces".

The original source for the modern version is

H.Grauert and R. Remmert, Komplexe Raume, Math.Ann. 136 (1958), 245–318.

I don't know of an exposition in English.

The version due to Riemann was just for algebraic curves. This is covered in many sources; my favorite is Narasimhan's book "Compact Riemann Surfaces".

The original source for the modern version is

H.Grauert and R. Remmert, Komplexe Räume, Math.Ann. 136 (1958), 245–318.

I don't know of an exposition in English.

The version due to Riemann was just for algebraic curves. This is covered in many sources; my favorite is Narasimhan's book "Compact Riemann Surfaces".

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Andy Putman
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The original source for the modern version is

H.Grauert and R. Remmert, Komplexe Raume, Math.Ann. 136 (1958), 245–318.

I don't know of an exposition in English.

The version due to Riemann was just for algebraic curves. This is covered in many sources; my favorite is Narasimhan's book "Compact Riemann Surfaces".