Germs of de Rham cohomology classes which vanish at the generic point
  We show that hypergeometric differential equations, unitary and Gauss-Manin connections give rise to de Rham cohomology sheaves which do not admit a Bloch-Ogus resolution. The latter is in contrast to Panin's theorem asserting that corresponding \'etale cohomology sheaves do fulfill Bloch-Ogus theory. 
H\'el\`ene Esnault, Eckart Viehweg