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

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By David Eisenbud,Joe Harris

This e-book can shape the root of a moment direction in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection idea, and offers instinct and procedure, 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 delight in the considerable examples, many supplied as routines with suggestions on hand on-line. Intersection is worried with the enumeration of options of platforms of polynomial equations in numerous variables. it's been an lively sector of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 gentle conic aircraft 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 concept is now a critical subject of recent mathematics.

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


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