Soule Lectures On Arakelov Geometry rar (0521416698)

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C. Soulé, D. Abramovich, J. F. Burnol, J. K. Kramer, "Lectures on Arakelov Geometry"

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 Soulé, 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.

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	Science/Engineering Lectures on the Geometry of Manifolds Lectures on the Geometry of Manifolds World Scientific Publishing Company\| 2007-12-30 \| ISBN:9812708537 \| 600 Pages \| 10.23 MB \| PDFThe object of this book is to introduce the reader to some of the most important techniques of modern global ...
	Science/Engineering Lectures on Differential Geometry Shiing-Shen Chern, Wei-Huan Chen , K. S. Lam, "Lectures on Differential Geometry"World Scientific Publishing Company \| 2000 \| English \| ISBN: 9810234945 \| 250 pages \| DJVU \| 2.5MB
	Science/Engineering Lectures on Hyperbolic Geometry Riccardo Benedetti, Carlo Petronio, "Lectures on Hyperbolic Geometry" Springer,2 Ed \| 2003 \| ISBN: 354055534X \| 332 pages \| Djvu \| 5,3 MB In recent years hyperbolic geometry has been the object and the preparation for extensive study th ...
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