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Progr'es r'ecents sur les fonctions normales (d'apr'es Green-Griffiths, Brosnan-Pearlstein, M. Saito, Schnell...) | | François Charles
; | | Date: |
30 Jan 2013 | | Abstract: | Given a family of smooth complex projective varieties, the Hodge conjecture
predicts the algebraicity of the locus of Hodge classes. This was proven
unconditionnally by Cattani, Deligne and Kaplan in 1995. In a similar way,
conjectures on algebraic cycles have led Green and Griffiths to conjecture the
algebraicity of the zero locus of normal functions. This corresponds to a mixed
version of the theorem of Cattani, Deligne and Kaplan. This result has been
proven recently by Brosnan-Pearlstein, Kato-Nakayama-Usui, and Schnell building
on work of M. Saito. We will present some of the ideas around this theorem. | | Source: | arXiv, 1301.7235 | | Services: | Forum | Review | PDF | Favorites | |
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