Direct images in non-archimedean Arakelov theory
Gillet, Henri ; Soulé, Christophe
Annales de l'Institut Fourier, Tome 50 (2000), p. 363-399 / Harvested from Numdam
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Nous développons un formalisme d’images directes pour les fibrés hermitiens dans le contexte de la théorie d’Arakelov non-archimédienne que nous avons introduite avec S. Bloch. Nous montrons un théorème de Riemann-Roch-Grothendieck pour cette image directe.

We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our joint work with S. Bloch. We prove a Riemann-Roch-Grothendieck theorem for this direct image.

@article{AIF_2000__50_2_363_0,
     author = {Gillet, Henri and Soul\'e, Christophe},
     title = {Direct images in non-archimedean Arakelov theory},
     journal = {Annales de l'Institut Fourier},
     volume = {50},
     year = {2000},
     pages = {363-399},
     doi = {10.5802/aif.1758},
     mrnumber = {2001j:14036},
     zbl = {0969.14015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2000__50_2_363_0}
}

Gillet, Henri; Soulé, Christophe. Direct images in non-archimedean Arakelov theory. Annales de l'Institut Fourier, Tome 50 (2000) pp. 363-399. doi : 10.5802/aif.1758. http://gdmltest.u-ga.fr/item/AIF_2000__50_2_363_0/

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