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Theses

Cycles algébriques et cohomologie de certaines variétés projectives complexes

Abstract : In this thesis, we offer a few contributions to the cohomological study of algebraic cycles on projective complex varieties. In the first part, we answer a question of Grothendieck by constructing two conjugate varieties with different real cohomology algebras. In the second part, we find criteria for the Lefschetz standard conjecture in codimension 2. In the last part, we study arithmetic properties of normal functions.
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https://tel.archives-ouvertes.fr/tel-00472932
Contributor : François Charles <>
Submitted on : Tuesday, April 13, 2010 - 3:45:51 PM
Last modification on : Monday, December 14, 2020 - 9:41:18 AM
Long-term archiving on: : Friday, October 19, 2012 - 1:55:15 PM

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  • HAL Id : tel-00472932, version 1

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François Charles. Cycles algébriques et cohomologie de certaines variétés projectives complexes. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2010. Français. ⟨tel-00472932⟩

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