La conjecture de Green generique [d'apres C. Voisin]

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

This is the text of my lecture (in french) at the Bourbaki Seminar (november
2003) on the proof by Claire Voisin of the Green conjecture for a generic
curve. This conjecture predicts the structure of the minimal resolution of the
ideal of a canonically embedded curve in terms of the existence of certain
special linear systems on the curve.

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