Synopsis
Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.
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About the Authors
David Eisenbud is Professor of Mathematics at the University of California, Berkeley, and currently serves as Director of the Mathematical Sciences Research Institute. He is also a Director at Math for America, a foundation devoted to improving mathematics teaching.
Joe Harris is Professor of Mathematics at Harvard University.
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3264 and All That: A Second Course in Algebraic Geometry
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Cambridge University Press, 2016
ISBN 10: 1107602726
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3264 and All That : A Second Course in Algebraic Geometry
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3264 and All That: A Second Course in Algebraic Geometry
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3264 and All That : A Second Course in Algebraic Geometry
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3264 and All That (Paperback)
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ISBN 10: 1107602726
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Paperback. Condition: new. Paperback. This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincare's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics. This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique so that the student develops the ability to solve geometric problems. It also contains abundant examples, exercises and solutions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107602724
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3264 and All That: A Second Course in Algebraic Geometry
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3264 and All That: A Second Course in Algebraic Geometry
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3264 and All That: A Second Course in Algebraic Geometry
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3264 and All That : A Second Course in Algebraic Geometry
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3264 and All That : A Second Course in Algebraic Geometry
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