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A case of the deformational Hodge conjecture via a pro Hochschild-Kostant-Rosenberg theorem
Published 7 Oct 2013 in math.AG | (1310.1900v2)
Abstract: Following ideas of Bloch, Esnault, and Kerz, the deformational part of Grothendieck's variational Hodge conjecture is established for proper, smooth schemes over $K[[t]]$, where $K$ is an algebraic extension of the rational numbers. The main tool is a pro Hochschild-Kostant-Rosenberg theorem for Hochschild homology.
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