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arxiv: 1111.1582 · v2 · pith:EIVKW2NJnew · submitted 2011-11-07 · 🧮 math.AG

S\'eparation et propri\'et\'e de Deligne-Mumford des champs de modules d'intersections compl\`etes lisses

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

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