Beschreibung
Inhaltsverzeichnis
Abstracts.- Introduction.- Part I. Expository Articles. Swinnerton-Dyer, P.: Diophantine equations: progress and problems. Heath-Brown, R.: Rational points and analytic number theory. Harari, D.: Weak approximation on algebraic varieties. Peyre, E.: Counting points on varieties using universal torsors.- Part II. Research Articles. Batyrev, V.V.; Popov, O.N.: The Cox ring of a Del Pezzo surface. Broberg, N.; Salberger, P.: Counting rational points on threefolds. Colliot-Thelene, J-L.; Gille, P.: Remarques sur l''approximation faible sur un corps de fonctions d''une variable. Ellenberg, J.S.: K3 surfaces over number fields with geometric Picard number one. Graber, T.; Harris, J.; Mazur, B.; Starr, J.: Jumps in Mordell-Weil rank and Arithmetic Surjectivity. Hassett, B.; Tschinkel, Y.: Universal torsors and Cox rings. Poonen, B.; Voloch, J.F.: Random diophantine equations. Raskind, W.; Scharaschkin, V.: Descent on simply connected surfaces over algebraic number fields. Shalika, J.; Takloo-Bighash, R.; Tschinkel, Y.: Rational points on compactification of semi-simple groups of rank 1. Swinnerton-Dyer, P.: Weak Approximation on Del Pezzo surfaces of degree 4. Whittenberg, O.: Transcendental Brauer-Manin obstruction on a pencil of elliptic curves. - Glossary - Index