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We consider geometrically cellular varieties $X$ over an arbitrary field ofcharacteristic zero. We study the quotient of the third unramified cohomologygroup $H^3_{nr}(X,\mathbb{Q}/\mathbb{Z}(2))$ by its constant part. For $X$ asmooth compactification of a universal torsor over a geometrically rationalsurface, we show that this quotient if finite. For $X$ a del Pezzo surface ofdegree $\geq 5$, we show that this quotient is zero, unless $X$ is a del Pezzosurface of degree 8 of a special type.

Cohomologie non ramifi\'ee de degr\'e 3 : vari\'et\'es cellulaires et surfaces de del Pezzo de degr\'e au moins 5