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In this article we show how the data of integrals of algebraic differential forms over algebraic cycles can be used in order to prove that algebraic and Hodge cycle deformations of a given algebraic cycle are equivalent.
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Alexander Grothendieck · 1966
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Phillip A. Griffiths · 1969
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Spencer Bloch · 1972
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Steven Zucker · 1977
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Tetsuji Shioda · 1979
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Tetsuji Shioda · 1979
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James A. Carlson and Phillip A. Griffiths · 1980
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Ziv Ran · 1980
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Tetsuji Shioda · 1981
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Pierre Deligne, James S. Milne, Arthur Ogus, and Kuang-yen Shih · 1982
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Noboru Aoki and Tetsuji Shioda · 1983
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James Carlson, Mark Green, Phillip Griffiths, and Joe Harris · 1983
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Yu. I. Manin · 1986
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Noboru Aoki · 1987
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General components of the Noether-Lefschetz locus and their density in the space of all surfaces
Ciro Ciliberto, Joe Harris, and Rick Miranda · 1988
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A new proof of the explicit Noether-Lefschetz theorem
Mark L. Green · 1988
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Une précision concernant le théorème de Noether
Claire Voisin · 1988
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Components of maximal dimension in the Noether-Lefschetz locus
On the locus of Hodge classes
Eduardo H. Cattani, Pierre Deligne, and Aroldo G. Kaplan · 1995
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Singular
G.-M. Greuel, G. Pfister, and H. Schönemann · 2001
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Hodge theory and complex algebraic geometry. II
Claire Voisin · 2003
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A second-order invariant of the Noether-Lefschetz locus and two applications
Catriona Maclean · 2005
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The Hodge conjecture
Pierre Deligne · 2006
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Multiple Integrals and Modular Differential Equations
Hossein Movasati · 2011
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Hodge loci
Claire Voisin · 2013
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Mark L. Green · 1989
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Composantes de petite codimension du lieu de Noether-Lefschetz
Claire Voisin · 1989
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Tomohide Terasoma · 1990
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Sur le lieu de Noether-Lefschetz en degrés 6 6 et 7 7
Claire Voisin · 1990
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Contrexemple à une conjecture de J. Harris
Claire Voisin · 1991
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Roberto Villaflor · 2018
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