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The first author wishes to thank the Institut des Hautes Études scientifiques, Bures-sur-Yvette, for support in this research andN. Katz, for his invaluable assistance in the preparation of this manuscript; the second author wishes to thank the Tata Institute of Fundamental Research, Bombay, and the Institut des Hautes Études scientifiques.

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Deligne, P., Mumford, D. The irreducibility of the space of curves of given genus. Publications Mathématiques de l’Institut des Hautes Scientifiques 36, 75–109 (1969). https://doi.org/10.1007/BF02684599

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