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

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

1998-01-08

arxiv.org/abs/math/9801033v1

Mathematics

Algebraic Geometry

latex 2e, 6 pages

Scientific paper

10.1016/S0764-4442(98)80050-5

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.

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