Universal cycle classes
Arithmetic intersection theory
An arithmetic Riemann-Roch theorem.
Riemann-Roch for general algebraic varieties
Direct images in non-archimedean Arakelov theory
We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our joint work with S. Bloch. We prove a Riemann-Roch-Grothendieck theorem for this direct image.
An arithmetic Riemann-Roch theorem in higher degrees
We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.
Volumes of symmetric spaces via lattice points.
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