Read e-book online 3264 and All That: A Second Course in Algebraic Geometry PDF

By David Eisenbud,Joe Harris

This booklet can shape the root of a moment path in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection concept, and gives instinct and approach, in order that the scholar develops the power to unravel geometric difficulties. The authors clarify key rules, together with rational equivalence, Chow earrings, Schubert calculus and Chern sessions, and readers will delight in the considerable examples, many supplied as routines with recommendations on hand on-line. Intersection is worried with the enumeration of suggestions of structures of polynomial equations in numerous variables. it's been an lively zone 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 an immense 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 plenty of next theories, in order that intersection thought is now a important 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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