Showing a limited preview of this publication:
Abstract
Using constructions of Voisin, we exhibit a smooth projective variety defined over a number field K and two complex embeddings of K, such that the two complex manifolds induced by these embeddings have non isomorphic cohomology algebras with real coefficients. This contrasts with the fact that the cohomology algebras with l-adic coefficients are canonically isomorphic for any prime number l, and answers a question of Grothendieck.
Received: 2007-10-02
Revised: 2008-01-05
Published Online: 2009-03-31
Published in Print: 2009-May
© Walter de Gruyter Berlin · New York 2009
