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Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It of
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This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools
Birational Geometry, Rational Curves, and Arithmetic
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​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.
Algebraic Geometry for Scientists and Engineers
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Based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, this book covers various topics in the theory of algebra
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The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mat