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SynopsisforTuesday,November13CubiccurvesAnynon-singularconiccanbewrittenasthesumofthreesquares,doessome-thingsimilarholdforcubics?Naively,couldanycubicbewrittenasasumofthreecubes?Thisisimpossible,thegroupofprojectivelineartransformationshas321=8dimensions

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variablesandwecanthuseasilyidentifythepossiblesing...