Lectures on Arakelov Geometry
(Book #33 in the Cambridge Studies in Advanced Mathematics Series)
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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 manifolds and the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and Soul , extending Arakelov geometry to higher dimensions. It includes...
Format:Paperback
Language:English
ISBN:0521477093
ISBN13:9780521477093
Release Date:January 2008
Publisher:Cambridge University Press
Length:188 Pages
Weight:0.59 lbs.
Dimensions:0.4" x 5.9" x 8.8"
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