Andreotti–Vesentini theorem
{{Short description|Certain cohomology groups of coherent sheaves are separated}}
In mathematics, the Andreotti–Vesentini separation theorem, introduced by {{harvs|txt | last1=Andreotti | first1=Aldo | last2=Vesentini | first2=Edoardo | author1-link=Aldo Andreotti|author2-link=Edoardo Vesentini| year=1965 | year2=1965b}} states that certain cohomology groups of coherent sheaves are separated.
References
- {{Citation
| last = Andreotti
| first = Aldo
| author-link =
| last2 =Vesentini
| first2 =Edoardo
| author2-link =Edoardo Vesentini
| title =Carleman estimates for the Laplace-Beltrami equation on complex manifolds
| journal =Publications Mathématiques de l'IHÉS
| volume =25
| year =1965
| pages =81–130
| url =http://www.numdam.org/item?id=PMIHES_1965__25__81_0
| issn=1618-1913
| mr =0175148
| zbl =0138.06604
| doi=10.1007/bf02684398
}}.
- {{Citation
| last = Andreotti
| first = Aldo
| author-link =
| last2 =Vesentini
| first2 =Edoardo
| author2-link =Edoardo Vesentini
| title =Erratum. Carleman estimates for the Laplace-Beltrami equation on complex manifolds
| journal =Publications Mathématiques de l'IHÉS
| volume =27
| year =1965b
| pages =153–155
| url =http://www.numdam.org/item?id=PMIHES_1965__27__153_0
| issn=1618-1913
| mr =0182983
| zbl =0138.06604
| doi=10.1007/bf02684376
}}.
{{DEFAULTSORT:Andreotti-Vesentini theorem}}
{{topology-stub}}