Tamás Szamuely's Preprints and Publications

Publications and Preprints

Preprints of Articles

(with Cyril Demarche), Etale homotopy groups of algebraic groups and homogeneous spaces, version to be revised, June 2022. pdf

Books

(with Philippe Gille ) Central Simple Algebras and Galois Cohomology, 2nd edition, Cambridge Studies in Advanced Mathematics, vol. 165, Cambridge University Press, 2017.
Curious about what's new in the second edition? Here is what.
Errata to second edition (pdf)
Previous edition: Central Simple Algebras and Galois Cohomology, Cambridge Studies in Advanced Mathematics, vol. 101, Cambridge University Press, 2006.
Errata to first edition (pdf)

Galois Groups and Fundamental Groups, Cambridge Studies in Advanced Mathematics, vol. 117, Cambridge University Press, 2009.
Table of Contents (pdf)
Errata and addenda (pdf)

Published Articles

(with David Harari), On Tate--Shafarevich groups of one-dimensional families of commutative group schemes over number fields, Math. Zeitschrift 302 (2022), 935-948. pdf

(with Damian Rössler), A generalization of Beilinson's geometric height pairing, Documenta Math. 27 (2022), 1671-1692. pdf

(with Levente Nagy) A general theory of André's solution algebras, Ann. Inst. Fourier 70 (2020), 2103--2129. pdf

(with Damian Rössler), Cohomology and torsion cycles over the maximal cyclotomic extension, J. reine angew. Math. 752 (2019), 211–227. pdf

(with Gergely Zábrádi), The p-adic Hodge decomposition according to Beilinson, in T. de Fernex et al. (eds.) Algebraic Geometry: Salt Lake City 2015, Proc. Symp. Pure Math., vol. 97, Part 2, American Mathematical Society, Providence, 2018, 495–-572. pdf

(with David Harari), Local-global questions for tori over p-adic function fields, J. Algebraic Geometry 25 (2016), 571--605. pdf

(with David Harari and Claus Scheiderer), Weak approximation for tori over p-adic function fields, Intern. Math. Res. Notices 10 (2015), 2751--2783. pdf
Addendum

(with Michel Brion), Prime-to-p étale covers of algebraic groups and their homogeneous spaces, Bull. London Math. Soc. 45 (2013), 602--612.
pdf of slightly older version

La teoria di Galois dopo Galois, Lettera Matematica Pristem 80-81 (2012), 75--80. Italian version (translated by Renato Betti) English version

Heidelberg lectures on fundamental groups, in J. Stix (ed.) The Arithmetic of Fundamental Groups (PIA 2010), Contributions in Mathematical and Computational Sciences, Vol. 2, Springer-Verlag, 2012, 53--73. pdf Errata

Corps de classes des schémas arithmétiques, Séminaire Bourbaki, exposé 1006, mars 2009. Astérisque 332 (2010), 257--286. pdf

(with Jean-Louis Colliot-Thélène), Autour de la conjecture de Tate à coefficients Z_l pour les variétés sur les corps finis, in R. Akhtar et al. (eds.) The Geometry of Algebraic Cycles, AMS/Clay Institute Proceedings, 2010, pp. 83--98. pdf

(with David Harari), Galois sections for abelianized fundamental groups, with an appendix by E. V. Flynn. Math. Ann. 344 (2009), 779--800. pdf
This is the arXiv version which contains a correction with respect to the published one.

(with David Harari), Local-global principles for 1-motives, Duke Math. J. 143 (2008), 531-557. pdf

(with David Harari), Arithmetic duality theorems for 1-motives, J. reine angew. Math. (Crelle) 578 (2005), 93--128. dvi ps pdf
Corrigenda for this paper pdf (updated with respect to published version)

Groupes de Galois de corps de type fini (d'après Pop), Séminaire Bourbaki, exposé 923, juin 2003. Astérisque 294 (2004), 403--431. dvi ps pdf

(with Michael Spiess), On the Albanese map for smooth quasi-projective varieties, Mathematische Annalen 325 (2003), 1--17. dvi ps pdf

Sur la théorie des corps de classes pour les variétés sur les corps p-adiques, J. reine angew. Math. (Crelle) 525 (2000), 183--212. dvi ps pdf

Le théorème de Tamagawa I, in Courbes semi-stables et groupe fondamental en géométrie algébrique J.-B. Bost, F. Loeser, M. Raynaud (eds.), Progress in Math., vol. 187, Birkhäser, 2000, pp. 187--201. dvi ps pdf

Sur l'application de réciprocité pour une surface fibrée en coniques définie sur un corps local, K-Theory 18 (1999), 173--179. dvi ps pdf

Sur une loi de réciprocité de Kato pour les anneaux locaux de dimension 2, L'Enseign. Math. 43 (1997), 77--91. pdf

(with András Biró), A Turán-Kubilius inequality with multiplicative weights, Acta Math. Hung. 70 (1996), 39--56.

On the Riemann-Roch theorem (Hungarian), Matematikai Lapok 1--2 (1993), 38--92.

Editorial Work

Higher Dimensional Varieties and Rational Points. Papers from the Summer School and Conference held in Budapest, September 3--21, 2001. Edited by Károly Böröczky, Jr., János Kollár and Tamás Szamuely. Bolyai Society Mathematical Studies, 12. Springer-Verlag, Berlin; János Bolyai Mathematical Society, Budapest, 2003. 310 pp. ISBN: 3-540-00820-9

Unpublished

Contributions to algebraic number theory, written for vol. 2 of `A Panorama of Hungarian Mathematics in the Twentieth Century'. Version 9 August 2006. pdf