Andreotti–Vesentini_theorem

Andreotti–Vesentini theorem

Andreotti–Vesentini theorem

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, 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.
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