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On algebraic 1-motives related to Hodge cycles

2001/03/27 by L. Barbieri-Viale
Mathematics · #math.AG #msc:14C30 #msc:14F42 #msc:19E15

paper · pdf

published as in "Algebraic Geometry" A Vol. in Memory of P. Francia, Walter de Gruyter, Berlin/New York, 2002 · 30 pages, LaTeX (using AMS symbols)

arxiv created 2001/03/27 · arxiv updated 2009/11/30

Abstract

The goal of this paper is to introduce Hodge 1-motives of algebraic varieties and to state a corresponding cohomological Grothendieck-Hodge conjecture, generalizing the classical Hodge conjecture to arbitrarily singular proper schemes.

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