On algebraic 1-motives related to Hodge cycles

Mathematics – Algebraic Geometry

Scientific paper

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30 pages, LaTeX (using AMS symbols)

Scientific paper

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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