Direct images in non-archimedean Arakelov theory

Details Direct images in non-archimedean Arakelov theory Direct images in non-archimedean Arakelov theory

1999-11-16

arxiv.org/abs/math/9911116v1

Mathematics

Algebraic Geometry

35 pages, plain tex

Scientific paper

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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