Lectures On Arakelov order Geometry, By C Soule, Et Al. Hardcover First Edition 1992

order Lectures on Arakelov geometry, by Christophe Soule; Dan Abramovitch; Jean-Francois Burnol; Jeff Kramer; et al
Publisher: Cambridge : Cambridge Univ. Press, 1992.
First edition. First printing.
Summary:

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.
Contents:

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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