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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
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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 Alternate Text
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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

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Counting rational curves on K3 surfaces
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Counting rational curves on K3 surfaces

Arnaud Beauville

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Counting rational curves on K3 surfaces

Arnaud Beauville

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ON MOTIVIC ZETA FUNCTIONS AND THE MOTIVIC NEARBY FIBER
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ON MOTIVIC ZETA FUNCTIONS AND THE MOTIVIC NEARBY FIBER

Jan Denef

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ON MOTIVIC ZETA FUNCTIONS AND THE MOTIVIC NEARBY FIBER

Jan Denef

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Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser
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Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser

Jan Denef

Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser Alternate Text
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Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser

Jan Denef

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Seattle lectures on motivic integration
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Seattle lectures on motivic integration

Jan Denef

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Seattle lectures on motivic integration

Jan Denef

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Existence of multimodal standing gravity waves Gerard Iooss† Pavel Plotnikov‡
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Existence of multimodal standing gravity waves Gerard Iooss† Pavel Plotnikov‡

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Existence of multimodal standing gravity waves Gerard Iooss† Pavel Plotnikov‡

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Quasipatterns in steady Benard Rayleigh convection
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Quasipatterns in steady Benard Rayleigh convection

Gérard Iooss

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Quasipatterns in steady Benard Rayleigh convection

Gérard Iooss

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In this chapter we present and discuss most significant contributions in Multi Disciplinary Optimization MDO The name multidisciplinary optimization is often taken literally We prefer to call it collaborative design optimization Indeed the optimization tool is only one part which can not be separated from the total design process The goal of collaborative optimization is not to create an automatic design process based on optimization algorithms but to allow easy interaction amongst teams from different disciplines
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In this chapter we present and discuss most significant contributions in Multi Disciplinary Optimization MDO The name multidisciplinary optimization is often taken literally We prefer to call it collaborative design optimization Indeed the optimization tool is only one part which can not be separated from the total design process The goal of collaborative optimization is not to create an automatic design process based on optimization algorithms but to allow easy interaction amongst teams from different disciplines

In this chapter we present and discuss most significant contributions in Multi Disciplinary Optimization MDO The name multidisciplinary optimization is often taken literally We prefer to call it collaborative design optimization Indeed the optimization tool is only one part which can not be separated from the total design process The goal of collaborative optimization is not to create an automatic design process based on optimization algorithms but to allow easy interaction amongst teams from different disciplines Alternate Text
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In this chapter we present and discuss most significant contributions in Multi Disciplinary Optimization MDO The name multidisciplinary optimization is often taken literally We prefer to call it collaborative design optimization Indeed the optimization tool is only one part which can not be separated from the total design process The goal of collaborative optimization is not to create an automatic design process based on optimization algorithms but to allow easy interaction amongst teams from different disciplines

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LARGE MULTIBEAM ARRAY ANTENNAS WITH REDUCED NUMBER OF ACTIVE CHAINS
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LARGE MULTIBEAM ARRAY ANTENNAS WITH REDUCED NUMBER OF ACTIVE CHAINS

France Gerard Caille

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LARGE MULTIBEAM ARRAY ANTENNAS WITH REDUCED NUMBER OF ACTIVE CHAINS

France Gerard Caille

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Optimization and Engineering c Kluwer Academic Publishers Manufactured in The Netherlands
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Optimization and Engineering c Kluwer Academic Publishers Manufactured in The Netherlands

Fabrice Veersé

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Optimization and Engineering c Kluwer Academic Publishers Manufactured in The Netherlands

Fabrice Veersé

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Applied Mathematics E Notes c ISSN Available free at mirror sites of
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Applied Mathematics E Notes c ISSN Available free at mirror sites of

Jean-Claude Yakoubsohn

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Applied Mathematics E Notes c ISSN Available free at mirror sites of

Jean-Claude Yakoubsohn

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Master MathMods Finite element method Implementation in Scilab
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Master MathMods Finite element method Implementation in Scilab

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Master MathMods Finite element method Implementation in Scilab

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CHAPTER DYNAMICS OF PARTICLES IN A FLUID
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CHAPTER DYNAMICS OF PARTICLES IN A FLUID

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CHAPTER DYNAMICS OF PARTICLES IN A FLUID

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Regularity and propagation of moments in some nonlinear Vlasov
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Regularity and propagation of moments in some nonlinear Vlasov

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Regularity and propagation of moments in some nonlinear Vlasov

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Existence to solutions of a kinetic aerosol model
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Existence to solutions of a kinetic aerosol model

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Existence to solutions of a kinetic aerosol model

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These de Doctorat de l Universite Paris VI
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These de Doctorat de l'Universite Paris VI

Pierre-Emmanuel Jabin

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These de Doctorat de l'Universite Paris VI

Pierre-Emmanuel Jabin

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Line–energy Ginzburg–Landau models: zero–energy states
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Line–energy Ginzburg–Landau models: zero–energy states

Pierre-Emmanuel Jabin

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Line–energy Ginzburg–Landau models: zero–energy states

Pierre-Emmanuel Jabin

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COMPENSATED COMPACTNESS FOR 2D CONSERVATION LAWS
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COMPENSATED COMPACTNESS FOR 2D CONSERVATION LAWS

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Vortex helices for the Gross Pitaevskii equation David CHIRON
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Vortex helices for the Gross Pitaevskii equation David CHIRON

David Chiron

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Vortex helices for the Gross Pitaevskii equation David CHIRON

David Chiron

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Analyse numerique d une methode integrale frontiere sans singularite Application a l electromagnetisme
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Analyse numerique d'une methode integrale frontiere sans singularite Application a l'electromagnetisme

Pierre Dreyfuss

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Pierre Dreyfuss

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Geometrical localisation of the degrees of freedom for Whitney elements of higher order
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Geometrical localisation of the degrees of freedom for Whitney elements of higher order

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Overlapping Schwarz preconditioners for Fekete spectral elements
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Overlapping Schwarz preconditioners for Fekete spectral elements

Elena Zampieri

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Elena Zampieri

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l Université Joseph Fourier de Grenoble
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L'Université Joseph Fourier de Grenoble

Joseph Fourier De Grenoble

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L'Université Joseph Fourier de Grenoble

Joseph Fourier De Grenoble

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GEOMETRICITY OF THE HODGE FILTRATION ON THE STACK OF PERFECT COMPLEXES OVER XDR
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GEOMETRICITY OF THE HODGE FILTRATION ON THE STACK OF PERFECT COMPLEXES OVER XDR

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A RELATION BETWEEN THE PARABOLIC CHERN CHARACTERS OF THE DE RHAM BUNDLES
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A RELATION BETWEEN THE PARABOLIC CHERN CHARACTERS OF THE DE RHAM BUNDLES

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A RELATION BETWEEN THE PARABOLIC CHERN CHARACTERS OF THE DE RHAM BUNDLES

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UNIVERSITE NICE SOPHIA ANTIPOLIS UFR SCIENCES Ecole Doctorale Sciences Fondamentales et Appliquees
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UNIVERSITE NICE SOPHIA ANTIPOLIS UFR SCIENCES Ecole Doctorale Sciences Fondamentales et Appliquees

Tony Pantev

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UNIVERSITE NICE SOPHIA ANTIPOLIS UFR SCIENCES Ecole Doctorale Sciences Fondamentales et Appliquees

Tony Pantev

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FORMALIZED PROOF COMPUTATION AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY
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FORMALIZED PROOF COMPUTATION AND THE CONSTRUCTION PROBLEM IN ALGEBRAIC GEOMETRY

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A KAM PHENOMENON FOR SINGULAR HOLOMORPHIC VECTOR FIELDS
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A KAM PHENOMENON FOR SINGULAR HOLOMORPHIC VECTOR FIELDS

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A KAM PHENOMENON FOR SINGULAR HOLOMORPHIC VECTOR FIELDS

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On quasitriangular quasi Hopf algebras and a group closely connected with Gal bar Q Q
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On quasitriangular quasi Hopf algebras and a group closely connected with Gal bar Q Q

Sarah Carr

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On quasitriangular quasi Hopf algebras and a group closely connected with Gal bar Q Q

Sarah Carr

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On Pryms rank bundles and nonabelian theta functions
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On Pryms rank bundles and nonabelian theta functions

Christian Pauly

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On Pryms rank bundles and nonabelian theta functions

Christian Pauly

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