QUADRATIC FORMS LINEAR ALGEBRAIC GROUPS AND COHOMOLOGY 18 DEVELOPMENTS IN MATHEMATICS

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Proceedings Of The International Congress Of Mathematicians

Author : Rajendra Bhatia
ISBN : 9789814324359
Genre : Electronic books
File Size : 66.11 MB
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ICM 2010 proceedings comprise a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Category: Electronic books

Rational Points And Arithmetic Of Fundamental Groups

Author : Jakob Stix
ISBN : 9783642306747
Genre : Mathematics
File Size : 78.65 MB
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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.
Category: Mathematics

A1 Algebraic Topology Over A Field

Author : Fabien Morel
ISBN : 9783642295140
Genre : Mathematics
File Size : 46.58 MB
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This text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
Category: Mathematics

Mathematical Reviews

Author :
ISBN : UVA:X006195256
Genre : Mathematics
File Size : 28.20 MB
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Category: Mathematics

Choice

Author :
ISBN : UCSC:32106006505108
Genre : Academic libraries
File Size : 51.11 MB
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Category: Academic libraries