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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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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
English
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Counting rational curves on K3 surfaces
Arnaud Beauville
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Counting rational curves on K3 surfaces
Arnaud Beauville
11 pages
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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
19 pages
English
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Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser
Jan Denef
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Geometry on arc spaces of algebraic varieties Jan Denef and Franc¸ois Loeser
Jan Denef
22 pages
English
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Seattle lectures on motivic integration
Jan Denef
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Seattle lectures on motivic integration
Jan Denef
40 pages
English
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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‡
13 pages
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Quasipatterns in steady Benard Rayleigh convection
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Quasipatterns in steady Benard Rayleigh convection
Gérard Iooss
33 pages
English
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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
36 pages
English
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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
9 pages
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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
17 pages
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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
5 pages
English
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Master MathMods Finite element method Implementation in Scilab
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Master MathMods Finite element method Implementation in Scilab
5 pages
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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
18 pages
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Existence to solutions of a kinetic aerosol model
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Existence to solutions of a kinetic aerosol model
18 pages
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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
44 pages
Français
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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
20 pages
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COMPENSATED COMPACTNESS FOR 2D CONSERVATION LAWS
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COMPENSATED COMPACTNESS FOR 2D CONSERVATION LAWS
15 pages
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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
65 pages
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Analyse numerique d'une methode integrale frontiere sans singularite Application a l'electromagnetisme
Pierre Dreyfuss
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Analyse numerique d'une methode integrale frontiere sans singularite Application a l'electromagnetisme
Pierre Dreyfuss
19 pages
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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
4 pages
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Overlapping Schwarz preconditioners for Fekete spectral elements
Elena Zampieri
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Overlapping Schwarz preconditioners for Fekete spectral elements
Elena Zampieri
8 pages
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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
210 pages
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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
60 pages
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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
41 pages
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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
121 pages
English
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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
19 pages
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A KAM PHENOMENON FOR SINGULAR HOLOMORPHIC VECTOR FIELDS
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A KAM PHENOMENON FOR SINGULAR HOLOMORPHIC VECTOR FIELDS
67 pages
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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
125 pages
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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
22 pages
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