paper

On algebraic 1-motives related to Hodge cycles

arXiv:math/0103179

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.

30 pages, LaTeX (using AMS symbols)