Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- PART ONE LECTURE NOTES
- PART TWO CONTRIBUTED PAPERS
- 4 Torsors over Luna strata
- 5 Abélianisation des espaces homogènes et applications arithmétiques
- 6 Gaussian rational points on a singular cubic surface
- 7 Actions algébriques de groupes arithmétiques
- 8 Descent theory for open varieties
- 9 Homotopy obstructions to rational points
- 10 Factorially graded rings of complexity one
- 11 Nef and semiample divisors on rational surfaces
- References
12 - Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface
from PART TWO - CONTRIBUTED PAPERS
Published online by Cambridge University Press: 05 May 2013
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Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- PART ONE LECTURE NOTES
- PART TWO CONTRIBUTED PAPERS
- 4 Torsors over Luna strata
- 5 Abélianisation des espaces homogènes et applications arithmétiques
- 6 Gaussian rational points on a singular cubic surface
- 7 Actions algébriques de groupes arithmétiques
- 8 Descent theory for open varieties
- 9 Homotopy obstructions to rational points
- 10 Factorially graded rings of complexity one
- 11 Nef and semiample divisors on rational surfaces
- References
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- Torsors, Étale Homotopy and Applications to Rational Points , pp. 447 - 459Publisher: Cambridge University PressPrint publication year: 2013
References
[1] , Computations on diagonal quartic surfaces, PhD thesis, University of Cambridge, 2002, www.boojum.org.uk/maths/quartic- surfaces/thesis.pdf
[2] , , , Arithmètique des surfaces cubiques diagonales, Ed. , Diophantine Approximation and Transcendence Theory, Springer-Verlag, LNM 1290, Berlin, Heidelberg, New York, 1987, pp. 1–108
[3] , , Good reduction of the Brauer-Manin obstruction, to appear in Trans. Amer. Math. Soc., 365, 2013, pp. 579–590
[4] , , Local Fields and Their Extensions, Amer. Math. Soc., Providence, 2002
[5] , , , , , Dix exposés sur la cohomologie des schémas, North-Holland Publishing Company, Amsterdam, 1968
[6] , Diagonal quartic surfaces and transcendental elements of the Brauer group, J. Inst. Math. Jussieu 9, 2010, pp. 769–798
[7] , , , On the Brauer group of diagonal quartic surfaces, J. London Math. Soc. 83, 2011, pp. 659–672Google Scholar
[8] , , On the arithmetic of Del Pezzo surfaces of degree 2, Proc. London Math. Soc. (3), 89, 2004, pp. 545–569
[9] , , Effectivity of Brauer-Manin obstructions on surfaces, Adv. in Math. 226, 2011, pp. 4131–4144Google Scholar
[10] , Étale Cohomology, Princeton Univ. Press, Princeton, NJ, 1980
[11] , Algebraische Zahlentheorie, Springer, Berlin, Heidelberg, 2007
[12] , , , Cohomology of Number Fields, Springer, GmW 323, Berlin, Heidelberg, New York, 1999
[13] , Corps locaux, Hermann, Paris, 1962
[14] , Torsors and Rational Points, Cambrige Univ. Press, CTM 144, Cambridge, 2001
[15] , Weak approximation on Del Pezzo surfaces of degree 1, Adv. in Math. 219, 2008, pp. 2123–2145Google Scholar
[16] , An explicit formula of the norm residue symbol in a local number field Science reports of Tokyo Woman's Christian College, 24–28, 1972, pp. 302–334
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