Notes on Geometry and Arithmetic (Universitext) - Tapa blanda

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Daniel François Coray (1947-2015) was Professor of Mathematics at the University of Geneva. His research interests spanned algebraic number theory, arithmetic of algebraic varieties, enumerative geometry, theoretical applications of computer methods and mathematical modeling of spatial concepts. His achievements in research were matched by his passion for teaching throughout his career. Daniel Coray passed away unexpectedly in June 2015 in Geneva only two months after he had completed the French version of this book manuscript.

De la contraportada

This English translation of Daniel Coray’s original French textbook Notes de géométrie et d’arithmétique introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the most essential ideas from algebraic geometry and commutative algebra. Readers are invited to discover rational points on varieties through an appealing ‘hands on’ approach that offers a pathway toward active research in arithmetic geometry. Along the way, the reader encounters the state of the art on solving certain classes of polynomial equations with beautiful geometric realizations, and travels a unique ascent towards variations on the Hasse Principle.

Notes on Geometry and Arithmetic will appeal to a wide readership, ranging from graduate students through to researchers. Assuming only a basic background in abstract algebra and number theory, the text uses Diophantine questions to motivate readers seeking an accessible pathway into arithmetic geometry.