Direct images in non-archimedean Arakelov theory
H. Gillet, C. Soulé
Abstract
We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our previous joint work with S. Bloch, and we prove a Riemann-Roch-Grothendieck theorem for this direct image.
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