Finiteness of de Rham cohomology in rigid analysis
Grosse-Klönne, Elmar
Duke Math. J., Tome 115 (2002) no. 1, p. 57-91 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
For a large class of smooth dagger spaces–rigid spaces with overconvergent structure sheaf–we prove finite dimensionality of de Rham cohomology. This is enough to obtain finiteness of P. Berthelot's rigid cohomology also in the nonsmooth case. We need a careful study of de Rham cohomology in situations of semistable reduction.
Publié le : 2002-05-15
Classification:  14F30,  14F40,  14G22 
@article{1087575225,
     author = {Grosse-Kl\"onne, Elmar},
     title = {Finiteness of de Rham cohomology in rigid analysis},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 57-91},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575225}
}

Grosse-Klönne, Elmar. Finiteness of de Rham cohomology in rigid analysis. Duke Math. J., Tome 115 (2002) no. 1, pp.  57-91. http://gdmltest.u-ga.fr/item/1087575225/