Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Book Description
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 mainfolds and the spectrum of Laplace operators. This account presents the work of Gillet and Soulé, extending Arakelov geometry to higher dimensions.
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
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Lectures on Arakelov Geometry (Cambridge Studies in...
Stock Image
Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33)
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
Used
Softcover
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Nov. 10 (SALE ITEM)* 177 pp., paperback, previous owner's name to half title page, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1330884
Stock Image
Lectures on Arakelov Geometry
Published by
Cambridge University Press, New York, NY, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
Used
Paperback
Seller: Book Bear, West Brookfield, MA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good to Very Good. 177 pp. Tightly bound. Spine not compromised. Text is free of markings. No ownership markings. NOTE: The reason for the lower "good" rating is because there is a light bump to the top right corner of the front cover and pages not affecting the text. Seller Inventory # 031842
Seller Image
Lectures on Arakelov Geometry
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 698238-n
Stock Image
Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33)
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Softcover
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2416190004280
Stock Image
Lectures on Arakelov Geometry
Published by
Cambridge University Press CUP, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Softcover
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 188. Seller Inventory # 26538447
Stock Image
Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics)
Print on DemandSeller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 185 pages. 9.00x6.00x0.50 inches. In Stock. This item is printed on demand. Seller Inventory # __0521477093
Buy New
US$ 71.79
Shipping:
US$ 13.16
From United Kingdom to U.S.A.
Quantity: 1 available
Stock Image
Lectures on Arakelov Geometry
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Softcover
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. pp. 188 Illus. Seller Inventory # 8358032
Buy New
US$ 80.09
Shipping:
US$ 8.55
From United Kingdom to U.S.A.
Quantity: 1 available
Stock Image
Lectures on Arakelov Geometry (Cambridge Studies in Advanced Mathematics, Series Number 33)
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Softcover
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780521477093_new
Buy New
US$ 76.07
Shipping:
US$ 15.76
From United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Lectures on Arakelov Geometry (Paperback)
Published by
Cambridge University Press, Cambridge, 1994
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Paperback
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521477093
Stock Image
Lectures on Arakelov Geometry
Published by
Cambridge University Press, 2008
ISBN 10: 0521477093
ISBN 13: 9780521477093
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 310. Seller Inventory # C9780521477093
Buy New
US$ 75.87
Shipping:
US$ 18.22
From United Kingdom to U.S.A.
Quantity: Over 20 available