Lectures on Arakelov Geometry (English, C. Soule | J. F. Burnol | D. Abramovich)-37% OFF
Science & Mathematics

Lectures on Arakelov Geometry (English, C. Soule | J. F. Burnol | D. Abramovich)

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ISBN-139780521477093
ISBN-100521477093

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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 Soulé, extending Arakelov geometry to higher dimensions. It i…

ISBN: 9780521477093

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