Étude des jets de Demailly-Semple en dimension 3
Rousseau, Erwan
Annales de l'Institut Fourier, Tome 56 (2006), p. 397-421 / Harvested from Numdam
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Dans cet article nous faisons l’étude algébrique des jets de Demailly-Semple en dimension 3 en utilisant la théorie des invariants des groupes non réductifs. Cette étude fournit la caractérisation géométrique du fibré des jets d’ordre 3 sur une variété de dimension 3 et permet d’effectuer, par Riemann-Roch, un calcul de caractéristique d’Euler.

In this article, the algebraic characterization of Demailly-Semple jets in dimension 3 is given using the invariant theory of non reductive groups. This work provides the geometric characterization of the 3-jets bundle on a manifold of dimension 3 and, by Riemann-Roch, the computation of the Euler characteristic.

Publié le : 2006-01-01
DOI : https://doi.org/10.5802/aif.2187
Classification:  32Q45,  13A50,  06B15
Mots clés: hyperbolicité des variétés complexes, huperbolicité au sens de Kobayashi, fibrés des jets de différentielles, représentations des groupes linéaires, théorie des invariants des groupes non réductifs 
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     title = {\'Etude des jets de Demailly-Semple en dimension 3},
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     volume = {56},
     year = {2006},
     pages = {397-421},
     doi = {10.5802/aif.2187},
     zbl = {1092.58003},
     mrnumber = {2226021},
     language = {fr},
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Rousseau, Erwan. Étude des jets de Demailly-Semple en dimension 3. Annales de l'Institut Fourier, Tome 56 (2006) pp. 397-421. doi : 10.5802/aif.2187. http://gdmltest.u-ga.fr/item/AIF_2006__56_2_397_0/

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