Direct images in non-archimedean Arakelov theory
Henri Gillet, Christophe Soulé (2000)
Annales de l'institut Fourier
Similarity:
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.