Direct images in non-archimedean Arakelov theory

1999/11/16 by H. Gillet, Gillet, H., C. Soulé +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9911116

35 pages, plain tex

arxiv created 1999/11/16 · arxiv updated 2009/11/30

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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