Download PDF by Alexei Skorobogatov: Torsors, Etale Homotopy and Applications to Rational Points

Number Theory

By Alexei Skorobogatov

ISBN-10: 1107616123

ISBN-13: 9781107616127

Torsors, often referred to as imperative bundles or crucial homogeneous areas, are ubiquitous in arithmetic. the aim of this ebook is to offer expository lecture notes and state of the art learn papers at the concept and functions of torsors and étale homotopy, all written from diversified views via top specialists. half one of many booklet includes lecture notes on contemporary makes use of of torsors in geometric invariant idea and illustration idea, plus an creation to the étale homotopy thought of Artin and Mazur. half of the e-book contains a milestone paper at the étale homotopy method of the mathematics of rational issues. moreover, the reader will discover a number of learn articles on algebraic teams and homogeneous areas, rational and K3 surfaces, geometric invariant concept, rational issues, descent and the Brauer–Manin obstruction. jointly, those supply a cutting-edge view of a huge quarter on the crossroads of quantity concept and algebraic geometry.

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Torsors, often referred to as important bundles or important homogeneous areas, are ubiquitous in arithmetic. the aim of this ebook is to give expository lecture notes and state-of-the-art study papers at the conception and purposes of torsors and étale homotopy, all written from assorted views through prime specialists.

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Torsors, Etale Homotopy and Applications to Rational Points (London Mathematical Society Lecture Note Series) by Alexei Skorobogatov


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