A step in the direction of a general description of derived self-intersections


In algebraic geometry, intersection theory aims at describing how algebraic manifolds intersect one another in an ambient space.

Recent progress about self-intersections have been made by studying how an algebric manifold intersects its infenitesimal perturbations. These results open the way to a better  understanding of derivate self-intersections. 

For a more complete description of this result (in french), click here.

Référence :

[1] Julien Grivaux. Derived geometry of the first formal neighborhood of a smooth analytic cycle, to appear.