3264 and All That: A Second Course in Algebraic Geometry - Softcover

Eisenbud, David; Harris, Joe

Softcover

ISBN 10: 1107602726 ISBN 13: 9781107602724

Publisher: Cambridge University Press, 2016

Synopsis

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 Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

About this title

Book Description:

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.

About the Author:

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2016
• ISBN 10: 1107602726
• ISBN 13: 9781107602724
• Binding: Paperback
• Edition number: 1
• Number of pages: 603