Lectures on Arakelov Geometry

An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory.

Inhaltsverzeichnis

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.

Zusammenfassung

An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. This text is based on a graduate course given at Harvard University and is aimed at number theorists and algebraic geometers. Complex analysts and differential geometers will also find in it a clear account of recent results and applications of their subjects to new areas.

Produktdetails

• Autoren: D. Abramovich, D. (Princeton University Abramovich, J. F. Burnol, J. F. (Max-Planck-Institut fur Mathematik) Burnol, J. K. (Department of Mathematics Kramer, Soul¿C., C. Soule, C. Abramovich Soule, C. Soulé
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 15.09.1994
• EAN: 9780521477093
• ISBN: 978-0-521-47709-3
• Seiten: 188
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie