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

By David Eisenbud,Joe Harris

This ebook can shape the root of a moment direction in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection thought, and offers instinct and approach, in order that the coed develops the facility to resolve geometric difficulties. The authors clarify key principles, together with rational equivalence, Chow jewelry, Schubert calculus and Chern periods, and readers will have fun with the considerable examples, many supplied as workouts with suggestions to be had on-line. Intersection is anxious with the enumeration of options of platforms of polynomial equations in different variables. it's been an energetic region of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 tender conic aircraft curves tangent to 5 given basic conics was once an immense landmark, and was once the muse in 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 idea 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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