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arXiv 1999-11-16 0 views

Direct images in non-archimedean Arakelov theory

Gillet, H. · Soulé, C.

Original · EN

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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