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The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especia
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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
Arithmetic of Higher-Dimensional Algebraic Varieties
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This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional vari
Lectures on Curves, Surfaces and Projective Varieties
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Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch