Differential Equations associated to Families of Algebraic Cycles
[Équations différentielles associées aux familles de cycles algébriques]
del Angel, Pedro Luis ; Müller-Stach, Stefan
Annales de l'Institut Fourier, Tome 58 (2008), p. 2075-2085 / Harvested from Numdam
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Nous développons une théorie d’équations associées aux familles de cycles algébriques dans des groupes de Chow supérieurs. Ce formalisme est lié au type inhomogène d’équations de Picard-Fuchs. Pour les familles de surfaces K3 l’équation différentielle ordinaire non-linéaire est semblable à l’équation de Chazy.

We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups). This formalism is related to inhomogenous Picard–Fuchs type differential equations. For a families of K3 surfaces the corresponding non–linear ODE turns out to be similar to Chazy’s equation.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/aif.2406
Classification:  14C25,  19E20
Mots clés: groupe de Chow supérieur, opérateur de Picard-Fuchs, fonction normale, équation différentielle 
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     author = {del Angel, Pedro Luis and M\"uller-Stach, Stefan},
     title = {Differential Equations associated to Families of Algebraic Cycles},
     journal = {Annales de l'Institut Fourier},
     volume = {58},
     year = {2008},
     pages = {2075-2085},
     doi = {10.5802/aif.2406},
     zbl = {1151.14009},
     mrnumber = {2473629},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2008__58_6_2075_0}
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del Angel, Pedro Luis; Müller-Stach, Stefan. Differential Equations associated to Families of Algebraic Cycles. Annales de l'Institut Fourier, Tome 58 (2008) pp. 2075-2085. doi : 10.5802/aif.2406. http://gdmltest.u-ga.fr/item/AIF_2008__58_6_2075_0/

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