Arithmetic of higher dimensional algebraic varieties

Progress in Mathematics, Birkhauser, 2003

List of contributions

V. Batyrev, O. Popov, The Cox ring of a Del Pezzo surface, 13 pp., pdf
N. Broberg, P. Salberger, Counting rational points on threefolds, 16 pp., pdf
J.-L. Colliot-Thelene, P. Gille, Remarques sur l'approximation faible sur un corps de fonctions d'une variable, 9 pp., pdf
J. Ellenberg, K3 surfaces over number fields with geometric Picard number one, 4 pp., pdf
D. Harari, Weak approximation on algebraic varieties, 16 pp., pdf
B. Hassett, Yu. Tschinkel, Universal torsors and Cox rings, 28 pp., pdf
R. Heath-Brown, Rational points and analytic number theory, 4 pp., pdf
T. Graber, J. Harris, B. Mazur, J. Starr, Jumps in Mordell-Weil rank and Arithmetic Surjectivity, 4 pp.
E. Peyre, Counting points on varieties using universal torsors, 22 pp., pdf
B. Poonen, F. Voloch, Random diophantine equations, 7 pp., pdf
W. Raskind, V. Scharaschkin, Descent on simply connected surfaces over algebraic number fields, 22 pp., pdf
J. Shalika, R. Takloo-Bighash, Yu. Tschinkel, Rational points on compactifications of semi-simple groups of rank 1, 32 pp., pdf
P. Swinnerton-Dyer, Weak approximation on Del Pezzo surfaces of degree 4, 22 pp., pdf
P. Swinnerton-Dyer, Diophantine equations: progress and problems, 33 pp., pdf
O. Wittenberg, Transcendental Brauer-Manin obstruction on a pencil of elliptic curves, 4 pp., pdf