20 citations · 40 across the 5 of their papers we have counts for
7 papers
Quasi-projective and formal-analytic arithmetic surfaces
Jean-Benoît Bost, François Charles
This memoir is devoted to the study of formal-analytic arithmetic surfaces. These are arithmetic counterparts, in the context of Arakelov geometry, of germs of smooth complex-analy…
Conditions de stabilité et géométrie birationnelle [d'après Bridgeland, Bayer-Macrì, ...]
François Charles
We survey some aspects of stability conditions both in general and on the derived category of coherent sheaves on a surface, with applications to the birational geometry of certain…
Arithmetic ampleness and an arithmetic Bertini theorem
François Charles
Let be a projective arithmetic variety of dimension at least . If is an ample hermitian line bundle on , we prove that the propo…
Frobenius distribution for pairs of elliptic curves and exceptional isogenies
François Charles
Let E and E' be two elliptic curves over a number field. We prove that the reductions of E and E' at a finite place p are geometrically isogenous for infinitely many p, and draw co…
A remark on the Torelli theorem for cubic fourfolds
François Charles
In this note, we give a short proof of the Torelli theorem for cubic fourfolds that relies on the global Torelli theorem for irreducible holomorphic symplectic varieties proved by…
Notes on absolute Hodge classes
François Charles, Christian Schnell
We survey the theory of absolute Hodge classes. The notes include a full proof of Deligne's theorem on absolute Hodge classes on abelian varieties as well as a discussion of other…