On algebraic 1-motives related to Hodge cycles

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.

arXiv comment30 pages, LaTeX (using AMS symbols)

References in corpus (1)

• $\mathcal{H}$-cohomologies versus algebraic cycles

Cited by in corpus (1)

• Deligne's Conjecture on 1-Motives