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Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. (English) Zbl 1054.11006
Progress in Mathematics 226. Boston, MA: Birkhäuser (ISBN 0-8176-3259-X/hbk). xvi, 287 p. (2004).

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The articles of this volume will be reviewed individually.
Indexed articles:
Swinnerton-Dyer, Peter, Diophantine equations: progress and problems, 3-35 [Zbl 1197.11071]
Heath-Brown, Roger, Rational points and analytic number theory, 37-42 [Zbl 1197.11069]
Harari, David, Weak approximation on algebraic varieties, 43-60 [Zbl 1197.11068]
Peyre, Emmanuel, Counting points on varieties using universal torsors, 61-81 [Zbl 1201.11068]
Batyrev, Victor V.; Popov, Oleg N., The Cox ring of a del Pezzo surface, 85-103 [Zbl 1075.14035]
Broberg, Niklas; Salberger, Per, Counting rational points on threefolds, 105-120 [Zbl 1151.11328]
Colliot-Thélène, Jean-Louis; Gille, Philippe, Remarks on weak approximation over a function field of one variable, 121-134 [Zbl 1201.11066]
Ellenberg, Jordan S., \(K3\) surfaces over number fields with geometric Picard number one, 135-140 [Zbl 1108.14030]
Graber, Tom; Harris, Joseph; Mazur, Barry; Starr, Jason, Jumps in Mordell-Weil rank and arithmetic surjectivity, 141-147 [Zbl 1075.14021]
Hassett, Brendan; Tschinkel, Yuri, Universal torsors and Cox rings, 149-173 [Zbl 1077.14046]
Poonen, Bjorn; Voloch, José Felipe, Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz., 175-184 [Zbl 1208.11050]
Raskind, Wayne; Scharaschkin, Victor, Descent on simply connected surfaces over algebraic number fields, 185-204 [Zbl 1211.11076]
Shalika, Joseph; Tokloo-Bighash, Ramin; Tschinkel, Yuri, Rational points on compactifications of semi-simple groups of rank 1, 205-233 [Zbl 1211.11080]
Swinnerton-Dyer, Peter, Weak approximation on del Pezzo surfaces of degree 4, 235-257 [Zbl 1211.11077]
Wittenberg, Olivier, Transcendental Brauer-Manin obstruction on a pencil of elliptic curves, 259-267 [Zbl 1173.11336]

MSC:
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
00B25 Proceedings of conferences of miscellaneous specific interest
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