#tangent-space

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

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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

Arnaud Beauville

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

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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

Arnaud Beauville

22 pages

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Robust Structure and Motion from Outlines of Smooth Curved Surfaces

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Robust Structure and Motion from Outlines of Smooth Curved Surfaces

Jean Ponce

Robust Structure and Motion from Outlines of Smooth Curved Surfaces

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Robust Structure and Motion from Outlines of Smooth Curved Surfaces

Jean Ponce

34 pages

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Distributions on homogeneous spaces and applications

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Distributions on homogeneous spaces and applications

Distributions on homogeneous spaces and applications

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Distributions on homogeneous spaces and applications

53 pages

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On cubics and quartics through a canonical curve Christian Pauly October

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On cubics and quartics through a canonical curve Christian Pauly October

Christian Pauly October

On cubics and quartics through a canonical curve Christian Pauly October

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Rapports de stage

On cubics and quartics through a canonical curve Christian Pauly October

Christian Pauly October

17 pages

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A weight two phenomenon for the moduli of rank one local systems on open varieties

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A weight two phenomenon for the moduli of rank one local systems on open varieties

Carlos Simpson

A weight two phenomenon for the moduli of rank one local systems on open varieties

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Education

A weight two phenomenon for the moduli of rank one local systems on open varieties

Carlos Simpson

39 pages

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