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 direction in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection concept, and gives instinct and process, in order that the coed develops the power 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 considerable examples, many supplied as workouts with suggestions on hand on-line. Intersection is worried with the enumeration of suggestions of structures of polynomial equations in different variables. it's been an lively sector of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 soft conic aircraft curves tangent to 5 given basic conics used to be a tremendous landmark, and was once the muse at the back of the identify of this ebook. Such computations have been motivation for Poincaré's improvement of topology, and for lots of next theories, in order that intersection concept is now a significant 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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