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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054 - Brossura
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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: 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, 2054)
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Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture: 2054
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Brossura. Condizione: fine. 2012; br., pp. 272, cm 23,5x15,5. Libro. Codice articolo 1663825
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Rational Points and Arithmetic of Fundamental Groups (Paperback)
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Paperback. Condizione: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783642306730
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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
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Springer Berlin Heidelberg Okt 2012, 2012
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ISBN 13: 9783642306730
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Taschenbuch. Condizione: 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. Codice articolo 9783642306730
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