Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics) by Soule et al

Cambridge Studies in Advanced Mathematics #33

by C. Soulé

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analytic tools such as currents on complex mainfolds and the spectrum of Laplace operators. This account presents the work of Gillet and Soul'e, extending Arakelov geometry to higher dimensions.

Genres: Mathematics

Paperback

First published December 18, 1992