Geometry Topology

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

By David Eisenbud,Joe Harris

This publication can shape the foundation of a moment direction in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection thought, and offers instinct and process, in order that the scholar develops the facility to resolve geometric difficulties. The authors clarify key principles, together with rational equivalence, Chow earrings, Schubert calculus and Chern sessions, and readers will get pleasure from the ample examples, many supplied as workouts with strategies to be had on-line. Intersection is anxious with the enumeration of strategies of platforms of polynomial equations in numerous variables. it's been an lively region of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 gentle conic airplane curves tangent to 5 given common conics used to be a massive 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 plenty of next theories, in order that intersection idea is now a valuable subject of contemporary mathematics.

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