Logarithmic differential forms on p-adic symmetric spaces
Iovita, Adrian ; Spiess, Michael
Duke Math. J., Tome 110 (2001) no. 1, p. 253-278 / Harvested from Project Euclid
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We give an explicit description in terms of logarithmic differential forms of the isomorphism of P. Schneider and U. Stuhler relating de Rham cohomology of p-adic symmetric spaces to boundary distributions. As an application we prove a Hodge-type decomposition for the de Rham cohomology of varieties over p-adic fields which admit a uniformization by a p-adic symmetric space.
Publié le : 2001-11-01
Classification:  11F85,  14F40,  14G22 
@article{1087574857,
     author = {Iovita, Adrian and Spiess, Michael},
     title = {Logarithmic differential forms on p-adic symmetric spaces},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 253-278},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087574857}
}

Iovita, Adrian; Spiess, Michael. Logarithmic differential forms on p-adic symmetric spaces. Duke Math. J., Tome 110 (2001) no. 1, pp.  253-278. http://gdmltest.u-ga.fr/item/1087574857/