Auteur
Arnaud Beauville
Œuvres
Documents
The Hodge conjecture is one of the seven “Millenium problems” for which the Clay Institute offers a prize of one million dollars It was formulated by Hodge in H1 much before H2 often quoted as the original source as part of a more general problem now called the general Hodge conjecture We will give the precise formulation below roughly Hodge proves that the fact that a topological cycle of dimension p on a projective manifold is contained in an algebraic subvariety of complex dimension r p forces the vanishing of the integrals along of certain differential forms he then asks whether the converse is true
Documents
Rapports de stage
The Hodge conjecture is one of the seven “Millenium problems” for which the Clay Institute offers a prize of one million dollars It was formulated by Hodge in H1 much before H2 often quoted as the original source as part of a more general problem now called the general Hodge conjecture We will give the precise formulation below roughly Hodge proves that the fact that a topological cycle of dimension p on a projective manifold is contained in an algebraic subvariety of complex dimension r p forces the vanishing of the integrals along of certain differential forms he then asks whether the converse is true
22 pages
English
