Geometry

   

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

Download: PDF

Submission history

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

Unique-IP document downloads: 15 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus