English

Direct images in non-archimedean Arakelov theory

Algebraic Geometry 2007-05-23 v1

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.

Cite

@article{arxiv.math/9911116,
  title  = {Direct images in non-archimedean Arakelov theory},
  author = {H. Gillet and C. Soulé},
  journal= {arXiv preprint arXiv:math/9911116},
  year   = {2007}
}

Comments

35 pages, plain tex

R2 v1 2026-07-22T18:05:14.475Z