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