Colliot-Thélène J.-L., Kato K., Vojta P. Arithmetic Algebraic Geometry

Springer-Verlag, 1993. — 218 p. — (Lecture Notes in Computer Science, 1553). — ISBN 3-540-57110-8, 0-387-57110-8.Lectures given at the 2nd Session of the Centro Intemazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June 24-July 2, 1991.
This volume contains enlarged versions of three of the lecture series. For an exposition of Soule's lectures, see the very recent book by Ch. Soule, D. Abramovich, J.F. Burnol and J.K. Kramer; "Arakelov Geometry", Cambridge Studies in Advanced Mathematics 33, Cambridge University Press, 1992.
The four main speakers took particular pains to start at a level understandable by motivated (but not specialist) graduate students and then they arrived at the frontier of research (and beyond). They provided further support for their audience in various ways, before, during and after this CIME Session. Just an example: J.L. Colliot-Thelene drew up, as early as 1990, a long list of references (both elementary and very advanced) complete with detailed comments on their content: the list was widely circulated. The authors of the three lecture series published here made the same effort for their written versions.Jean Louis Colliot-Thelene. Cycles algebriques de torsion et K-theorie algebrique
Kazuya Kato. Lectures on the approach to Iwasawa theory for Hasse-Weil L-function via B_dR
Paul Vojta. Application of arithmetic geometry to Diophantine approximationsФайл: отскан. стр. (b/w 300 dpi) + OCR