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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054 (Lecture Notes in Mathematics) - Softcover
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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.
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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.
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Rational Points and Arithmetic of Fundamental Groups
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The first exposition of foundational material on the arithmetic of fundamental groups with respect to the Section Conjecture of anabelian Geometry: from the history of the subject to the state of the art of the conjecture. Numerous approaches to t. Bestandsnummer des Verkäufers 5056327
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture
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Rational Points and Arithmetic of Fundamental Groups
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ISBN 13: 9783642306730
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Taschenbuch. Zustand: Neu. 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 using a characteristic quotient or its birational analogue in lieu of the fundamental group extension.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 272 pp. Englisch. Bestandsnummer des Verkäufers 9783642306730
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Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783642306730
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Rational Points and Arithmetic of Fundamental Groups
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Springer Berlin Heidelberg Okt 2012, 2012
ISBN 10: 364230673X
ISBN 13: 9783642306730
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783642306730
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054
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Brossura. Zustand: fine. 2012; br., pp. 272, cm 23,5x15,5. Libro. Bestandsnummer des Verkäufers 1663825
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Rational Points and Arithmetic of Fundamental Groups : Evidence for the Section Conjecture
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics, 2054)
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics)
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture (Lecture Notes in Mathematics, 2054)
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