## The Hodge Conjecture, and the Cohomologie Algebra of the Hilbert Variety of the Projective Space.

**Authors:** Omar Bouliz

We establish here that the class map cl := cl_X : Z^{\bullet} (X, \mathrm{Q} ) \to H^{ \bullet } ( X , \mathbb{Q} ) which is the main subject of the problem of Hodge conjecture, belongs to cohomology algebra H^{ \bullet } ( \mathcal{H} \mathrm{ilb} ( \mathbb{P}^n )), where \mathcal{H} \mathrm{ilb} ( \mathbb{P}^n ) is the Hilbert variety of the complex projective space \mathbb{P}^n, and is a projective subvariety of \mathbb{P}^n.

**Comments:** 2 Pages. This document is written in French, except the Title and the Abstract

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### Submission history

[v1] 2018-09-04 09:25:05

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