By David Eisenbud,Joe Harris

ISBN-10: 1107017084

ISBN-13: 9781107017085

ISBN-10: 1107602726

ISBN-13: 9781107602724

This publication can shape the root of a moment path in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection conception, and gives instinct and approach, in order that the coed develops the facility to resolve geometric difficulties. The authors clarify key rules, together with rational equivalence, Chow earrings, Schubert calculus and Chern periods, and readers will have fun with the ample examples, many supplied as routines with strategies to be had on-line. Intersection is anxious with the enumeration of ideas of platforms of polynomial equations in numerous variables. it's been an energetic quarter of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 tender conic aircraft curves tangent to 5 given common conics used to be an incredible landmark, and was once the muse in the back of the name of this e-book. Such computations have been motivation for Poincaré's improvement of topology, and for lots of next theories, in order that intersection conception is now a primary subject of contemporary mathematics.

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3264 and All That: A Second Course in Algebraic Geometry by David Eisenbud,Joe Harris


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