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}, pages = {363--399}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {50}, number = {2}, year = {2000}, doi = {10.5802/aif.1758}, mrnumber = {2001j:14036}, zbl = {0969.14015}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1758/} }
TY - JOUR AU - Gillet, Henri AU - Soulé, Christophe TI - Direct images in non-archimedean Arakelov theory JO - Annales de l'Institut Fourier PY - 2000 SP - 363 EP - 399 VL - 50 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1758/ DO - 10.5802/aif.1758 LA - en ID - AIF_2000__50_2_363_0 ER -
%0 Journal Article %A Gillet, Henri %A Soulé, Christophe %T Direct images in non-archimedean Arakelov theory %J Annales de l'Institut Fourier %D 2000 %P 363-399 %V 50 %N 2 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1758/ %R 10.5802/aif.1758 %G en %F 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://archive.numdam.org/articles/10.5802/aif.1758/
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