Lectures on Arakelov Geometry

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Introduction 1. Intersection theory on regular schemes 2. Green currents 3. Arithmetic Chow groups 4. Characteristic classes 5. The determinant of Laplace operators 6. The determinant of the cohomology 7. The curvature of the determinant line bundle 8. The arithmetic Riemann-Roch-Grothendieck theorem References Index.

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