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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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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292. Hardcover with dust jacket. Light pencil markings throughout. Dust jacket is worn, rubbed and scuffed. Some bumping to corners. Yellowed jacket. 292 pages.