In mathematics, the Andreotti–Vesentini separation theorem, introduced by Aldo Andreotti and Edoardo Vesentini (1965, 1965b) states that certain cohomology groups of coherent sheaves are separated.
References Andreotti, Aldo; Vesentini, Edoardo (1965), "Carleman estimates for the Laplace-Beltrami equation on complex manifolds", Publications Mathématiques de l'IHÉS, 25: 81–130, doi:10.1007/bf02684398, ISSN 1618-1913, MR 0175148, Zbl 0138.06604. Andreotti, Aldo; Vesentini, Edoardo (1965b), "Erratum. Carleman estimates for the Laplace-Beltrami equation on complex manifolds", Publications Mathématiques de l'IHÉS, 27: 153–155, doi:10.1007/bf02684376, ISSN 1618-1913, MR 0182983, Zbl 0138.06604.