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2013-03-07 16:13:12 +0100 | asked a question | Finding the dual basis of a space of rational functions? I am trying to calculate the algebraic geometry codes (Function codes and Residue Code) for a given divisor. For calculating the function codes, sage directly provides a way to calculate the Riemann Roch Basis (they are rational functions). But, I need an explicit basis for the Residue code too (which is the dual of the function code). So, essentially, when a basis (in terms of rational functions) is given, is there a way in sage to find the dual basis? |