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Direct images in non-archimedean Arakelov theory

H. Gillet·C. Soulé
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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.

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H. Gillet, C. Soulé. 1999-11-16. Direct images in non-archimedean Arakelov theory. https://arxiv.org/abs/math/9911116

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