3264 and All That

A Second Course in Algebraic Geometry

Joe Harris author David Eisenbud author

Format:Hardback

Publisher:Cambridge University Press

Published:14th Apr '16

Currently unavailable, and unfortunately no date known when it will be back

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3264 and All That cover

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

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.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.

'… the book covers an important part of classical algebraic geometry with a modern point of view. It is indeed highly recommendable for a second (or a third) course in algebraic geometry| and more generally, for every mathematician interested in concrete algebraic geometry.' Arnaud Beauville, MathSciNet

ISBN: 9781107017085

Dimensions: 260mm x 182mm x 37mm

Weight: 1290g

603 pages