2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116435We introduce a notion of Jacobi-Bernoulli cohomology associated to a semi-simplicial Lie algebra (SELA). For an algebraic scheme $X$ over $\C$, we construct a tangent SELA $\t_X$ and show that the Jacobi-Bernoulli cohomology of $\t_X$ is related to infinitesimal deformations of $X$.Algebraic Geometry14D15, 14B07Bernoulli numbers and deformations of schemes and mapstext