March 22, 2018

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

By David Eisenbud,Joe Harris

ISBN-10: 1107017084

ISBN-13: 9781107017085

ISBN-10: 1107602726

ISBN-13: 9781107602724

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 gives instinct and process, in order that the scholar develops the facility to unravel geometric difficulties. The authors clarify key rules, together with rational equivalence, Chow earrings, Schubert calculus and Chern sessions, and readers will savour the plentiful examples, many supplied as routines with recommendations on hand on-line. Intersection is worried with the enumeration of options of platforms of polynomial equations in numerous variables. it's been an energetic region of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 gentle conic airplane curves tangent to 5 given normal conics used to be a tremendous 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 lots of next theories, in order that intersection thought is now a imperative 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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