paper

Direct images in non-archimedean Arakelov theory

arXiv:math/9911116

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.

35 pages, plain tex

Direct images in non-archimedean Arakelov theory · wovepaper