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

1998/01/08 by Hélène Esnault, Eckart Viehweg
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.1016/s0764-4442(98)80050-5

latex 2e, 6 pages

arxiv created 1998/01/08 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 étale cohomology sheaves do fulfill Bloch-Ogus theory.

Citations