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Lectures on Arakelov Geometry: 33 (Cambridge Studies in Advanced Mathematics, Series Number 33) - Softcover
Book 9 of 151: Cambridge Studies in Advanced Mathematics
Synopsis
An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory.
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Review
"...has been written with great care, is very enjoyable to read and could be recommended to anyone interested in this important area." Dipendra Prasad, Mathematical Reviews
Book Description
An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. This text is based on a graduate course given at Harvard University and is aimed at number theorists and algebraic geometers. Complex analysts and differential geometers will also find in it a clear account of recent results and applications of their subjects to new areas.
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Lectures on Arakelov Geometry
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Cambridge University Press CUP, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
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Lectures on Arakelov Geometry
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Paperback. Condition: New. 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. The book is based on lectures given at Harvard University and is aimed at graduate students and researchers in number theory and algebraic geometry. Complex analysts and differential geometers will also find in it a clear account of recent results and applications of their subjects to new areas. Seller Inventory # LU-9780521477093
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Lectures on Arakelov Geometry
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Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics)
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Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33) (Volume 0)
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Lectures on Arakelov Geometry
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Lectures on Arakelov Geometry
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Lectures on Arakelov Geometry: 33 (Cambridge Studies in Advanced Mathematics, Series Number 33)
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Condition: New. An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. Series Editor(s): Bollobas, Bela; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 188 pages, 1 b/w illus. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 155 x 229 x 18. Weight in Grams: 310. . 2008. Revised ed. paperback. . . . . Seller Inventory # V9780521477093
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Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33) (Volume 0)
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ISBN 13: 9780521477093
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Lectures on Arakelov Geometry: 33 (Cambridge Studies in Advanced Mathematics, Series Number 33)
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
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Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
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Condition: New. An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. Series Editor(s): Bollobas, Bela; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 188 pages, 1 b/w illus. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 155 x 229 x 18. Weight in Grams: 310. . 2008. Revised ed. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521477093