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Rational points and arithmetic of fundamental groups : evidence for the section conjecture / Jakob Stix.

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Author/Creator:
Stix, Jakob.
Language:
English.
Publication date:
2013
Imprint:
Heidelberg ; New York : Springer, c2013.
Format:
  • Book
  • xx, 249 p. : ill. ; 23 cm.
Bibliography:
Includes bibliographical references (p. [239]-245) and index.
Contents:
  • 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
  • 8. Reduction of sections
  • 9. The space of sections in the arithmetic case and the section conjecture in covers
  • 10. Local obstructions at a p-adic place
  • 11. Brauer-Manin and descent obstructions
  • 12. Fragments of non-abelian Tate-Poiyou duality
  • 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.
Available in another form:
Online version: Stix, Jakob. Rational points and arithmetic of fundamental groups. Berlin : Springer, c2013 9783642306747 (OCoLC)814181066
Series:
Lecture notes in mathematics, 1617-9692 ; 2054
Lecture notes in mathematics (Springer-Verlag) ; 2054.
Subjects:
ISBN:
364230673X
9783642306730
3642306748
9783642306747

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