New PDF release: 3264 and All That: A Second Course in Algebraic Geometry

By David Eisenbud,Joe Harris

ISBN-10: 1107017084

ISBN-13: 9781107017085

ISBN-10: 1107602726

ISBN-13: 9781107602724

This e-book can shape the root of a moment path in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection conception, and offers instinct and approach, in order that the scholar develops the power to resolve geometric difficulties. The authors clarify key principles, together with rational equivalence, Chow earrings, Schubert calculus and Chern sessions, and readers will enjoy the ample examples, many supplied as routines with strategies to be had on-line. Intersection is worried with the enumeration of options 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 airplane curves tangent to 5 given common conics used to be a massive landmark, and was once the muse at the back of the name of this ebook. Such computations have been motivation for Poincaré's improvement of topology, and for lots of next theories, in order that intersection thought is now a valuable 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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