 
Primary references:   

[FK] Farkas-Kra {\bf Riemann Surfaces} 2nd ed.

My notes (to be uploaded to   course web page). 

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Almost as primary: 

[D]   Donaldson, {\bf Riemann Surfaces}

Mumford, D. {\bf Curves and Their Jacobians}

Miranda, {\bf Algebraic Curves and Riemann Surfaces}

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Secondary  references  : 

 Ahlfors, {\bf Complex Analysis}  
 

  Fisher, Gerd, {\bf  Plane Algebraic Curves} , Student Math Library series, v 15, 
AMS ,  esp p. 169

  Levy, Silvio, editor {\bf The Eightfold Way: the beauty of Klein's quartic curve},
 

  Weyl {\bf The concept of a Riemann Surface}  [through Dover] 
  
  Klein, {\bf On Riemann's Theory of Algebraic Functions and Their Integrals}  [through Dover]  
  
  
   Griffiths, {\it Variations on a Theme of Abel, (part 1)}, available on-line, or JSTOR.
   
   
   H Clemens,  {\bf A scrapbook of complex curve theory. }
   
   Serre:  {\bf A course in arithmetic.} (for modular functions)
   
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  Occasionally consulted refs
  
  
  
   Yoshida, {\bf Hypergeometric Functions, My Love}
   
   McMullen's on-line notes. 
   
   
   Kirwan:  {\bf Complex Algebraic Curves.}
   
   Strebel: {\bf Quadratic Differentials.} 
   
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