Arithmetic and Geometry
Luis Dieulefait · Gerd Faltings · D. R. Heath-Brown · Yu. V. Manin · B. Z. Moroz · Jean-Pierre Wintenberger
Okt 2015 · London Mathematical Society Lecture Note Series Ibhuku elingu-420 · Cambridge University Press
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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.
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Luis Dieulefait is Associate Professor in the Department of Algebra and Geometry at the University of Barcelona.
Yuri I. Manin is Professor Emeritus at the Max Planck Institute for Mathematics in Bonn.
B. Z. Moroz is Associate Professor at the Max Planck Institute for Mathematics in Bonn.
Jean-Pierre Wintenberger is Professor at the Department of Mathematics at the University of Strasbourg.
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