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 ...
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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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Add this copy of Rational Points and Arithmetic of Fundamental Groups to cart. $52.05, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2012 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2012, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Rational Points and Arithmetic of Fundamental Groups to cart. $54.97, fair condition, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2012 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2012, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Rational Points and Arithmetic of Fundamental Groups: to cart. $61.04, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2012 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2012, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2012
Language:
English
Alibris ID:
17988215552
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