Arithmetic and Geometry

ISBN: 9781107462540 出版年：2015 页码：539 Luis Dieulefait Gerd Faltings D R Heath-Brown Yu V Manin B Z Moroz Jean-Pierre Wintenberger Cambridge University Press

The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry. It is also essential reading for any researcher wishing to keep abreast of the latest developments in the field. Highlights include Tim Browning's survey on applications of the circle method to rational points on algebraic varieties and Per Salberger's chapter on rational points on cubic hypersurfaces.