E-book
Rational Points and Arithmetic of Fundamental Groups Evidence for the Section Conjecture
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- ISBN: 9783642306747
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XX, 249 p. online resource. - Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
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| Subject: | Mathematics Geometry, algebraic Number theory Mathematics Algebraic Geometry Number Theory |
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Electronic resources
| Part I Foundations of Sections | ||
| 1 Continuous Non-abelian H1 with Profinite Coefficients.-2 The Fundamental Groupoid | ||
| 3 Basic Geometric Operations in Terms of Sections | ||
| 4 The Space of Sections as a Topological Space | ||
| 5 Evaluation of Units | ||
| 6 Cycle Classes in Anabelian Geometry | ||
| 7 Injectivity in the Section Conjecture | ||
| Part II Basic Arithmetic of Sections | ||
| 7 Injectivity in the Section Conjecture | ||
| 8 Reduction of Sections | ||
| 9 The Space of Sections in the Arithmetic Case and the Section Conjecture in Covers | ||
| Part III On the Passage from Local to Global | ||
| 10 Local Obstructions at a p-adic Place | ||
| 11 Brauer-Manin and Descent Obstructions | ||
| 12 Fragments of Non-abelian TateâPoitou Duality | ||
| Part IV Analogues of the Section Conjecture | ||
| 13 On the Section Conjecture for Torsors | ||
| 14 Nilpotent Sections | ||
| 15 Sections over Finite Fields | ||
| 16 On the Section Conjecture over Local Fields | ||
| 17 Fields of Cohomological Dimension 1 | ||
| 18 Cuspidal Sections and Birational Analogues. |
