Andreotti–Vesentini theorem

Short description: Certain cohomology groups of coherent sheaves are separated

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, http://www.numdam.org/item?id=PMIHES_1965__25__81_0 .
• 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, http://www.numdam.org/item?id=PMIHES_1965__27__153_0 .