Items related to Rational Points and Arithmetic of Fundamental Groups:...
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054 (Lecture Notes in Mathematics, 2054) - Softcover
Synopsis
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
"synopsis" may belong to another edition of this title.
From the Back Cover
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.
"About this title" may belong to another edition of this title.
Search results for Rational Points and Arithmetic of Fundamental Groups:...
Stock Image
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9783642306730. Seller Inventory # 2929062
Quantity: 1 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 17849350-n
Quantity: Over 20 available
Stock Image
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics)
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9783642306730
Quantity: 10 available
Stock Image
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics, 2054)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783642306730_new
Quantity: Over 20 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 17849350
Quantity: Over 20 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 17849350
Quantity: Over 20 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054
Seller: Libro Co. Italia Srl, San Casciano Val di Pesa, FI, Italy
Seller rating 5 out of 5 stars
Brossura. Condition: fine. 2012; br., pp. 272, cm 23,5x15,5. Libro. Seller Inventory # 1663825
Quantity: 1 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups
Published by
Springer Berlin Heidelberg Okt 2012, 2012
ISBN 10: 364230673X
ISBN 13: 9783642306730
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. While the conjecture is still open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the Brauer-Manin obstruction is the only one against rational points on curves. This monograph begins by laying the foundations for the space of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to-global approach is studied in detail. The monograph concludes by discussing analogues of the section conjecture created by varying the base field or the type of variety, or by passing to a characteristic quotient of the fundamental group extension or its birational analogue. 272 pp. Englisch. Seller Inventory # 9783642306730
Quantity: 2 available
Stock Image
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics, 2054)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783642306730
Quantity: Over 20 available
Seller Image
Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 17849350-n
Quantity: Over 20 available