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On montre que les champs de modules d'intersections complètes lisses dans ℙ  N   polarisées par (1) sont séparés (sauf dans le cas des quadriques) et de Deligne–Mumford (sauf pour quelques exceptions).  We show that the moduli stacks of smooth complete intersections in ℙ  N   polarized by (1) are separated (except for quadrics) and Deligne–Mumford (apart from a few exceptions).

Séparation et propriété de Deligne–Mumford des champs de modules d'intersections complètes lisses