Direct images in non-archimedean Arakelov theory
Annales de l'Institut Fourier, Volume 50 (2000) no. 2, p. 363-399

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.

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.

@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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {50},
     number = {2},
     year = {2000},
     pages = {363-399},
     doi = {10.5802/aif.1758},
     zbl = {0969.14015},
     mrnumber = {2001j:14036},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2000__50_2_363_0}
}
Gillet, Henri; Soulé, Christophe. Direct images in non-archimedean Arakelov theory. Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 363-399. doi : 10.5802/aif.1758. http://www.numdam.org/item/AIF_2000__50_2_363_0/

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