22 citations · 51 across the 5 of their papers we have counts for
6 papers
Réduction stable en dimension supérieure [d'après Kollár, Hacon-Xu...]
Olivier Benoist
The moduli space of stable curves of Deligne and Mumford is a compactification of the moduli space of smooth curves of genus >=2 that parametrizes certain nodal curves. It is a pow…
Construction de courbes sur les surfaces K3 [d'après Bogomolov-Hassett-Tschinkel, Charles, Li-Liedtke, Madapusi Pera, Maulik...]
Olivier Benoist
We report on recent results concerning the construction of curves on K3 surfaces: the proof of the Tate conjecture for K3 surfaces in odd characteristic (after Maulik, Charles and…
Quelques espaces de modules d'intersections complètes lisses qui sont quasi-projectifs
Olivier Benoist
For some values of the degrees of the equations, we show, using geometric invariant theory, that the coarse moduli space of smooth complete intersections in P^N is quasi-projective…
Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses
Olivier Benoist
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). ----…
Degrés d'homogénéité de l'ensemble des intersections complètes singulières
Olivier Benoist
A classical result of Boole shows that, in characteristic 0, the set of singular degree d hypersurfaces in P^N is a divisor of degree (N+1)(d-1)^N in the projective space of all hy…
Le théorème de Bertini en famille
Olivier Benoist
We give upper bounds for the dimension of the set of hypersurfaces of whose intersection with a fixed integral projective variety is not integral. Our upper bounds a…