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

Abstract

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).

24 pages, in french

Cited by in corpus (9)

• Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
• Codimension one Fano distributions on Fano manifolds
• Automorphism and Cohomology II: Complete intersections
• Automorphisms of weighted complete intersections
• $K3$ curves with index $k>1$
• Hamiltonian $S^1$-actions on complete intersections
• Elliptic genera of level $N$ for complete intersections
• Euler-symmetric complete intersection in projective space
• Fano 4-folds having a prime divisor of Picard number 1