Call Boomerang Books 1300 36 33 32

Description - Lectures on Arakelov Geometry by C. Soule

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 Soule, extending Arakelov geometry to higher dimensions. It includes a proof of Serre's conjecture on intersection multiplicities and an arithmetic Riemann-Roch theorem. To aid number theorists, background material on differential geometry is described, but techniques from algebra and analysis are covered as well. Several open problems and research themes are also mentioned.

Buy Lectures on Arakelov Geometry by C. Soule from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521477093
ISBN-10: 0521477093
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 188
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 15-Sep-1994
Country of Publication: United Kingdom

Other Editions - Lectures on Arakelov Geometry by C. Soule

Book Reviews - Lectures on Arakelov Geometry by C. Soule

» Have you read this book? We'd like to know what you think about it - write a review about Lectures on Arakelov Geometry book by C. Soule and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review