Germs of de Rham cohomology classes which vanish at the generic point

We show that hypergeometric differential equations, unitary and Gau beta-Manin connections give rise to de Rham cohomology sheaves which do not admit a Bloch-Ogus resolution [1]. The latter is in contrast to Panin's theorem [8] asserting that corresponding etale cohomology sheaves do fulfill Bloch-Ogus theory. (C) Academie des Sciences/Elsevier, Paris.