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.

Show description

Read Online or Download 3264 and All That: A Second Course in Algebraic Geometry PDF

Similar geometry & topology books

Get Axiomatic, Enriched and Motivic Homotopy Theory: Proceedings PDF

The NATO complicated learn Institute "Axiomatic, enriched and rna­ tivic homotopy concept" came about on the Isaac Newton Institute of Mathematical Sciences, Cambridge, England in the course of 9-20 September 2002. the administrators have been J. P. C. Greenlees and that i. Zhukov; the opposite or­ ganizers have been P. G. Goerss, F. Morel, J.

Read e-book online Monopoles and Three-Manifolds (New Mathematical Monographs) PDF

Originating with Andreas Floer within the Eighties, Floer homology has proved to be a good software in tackling many vital difficulties in 3- and 4-dimensional geometry and topology. This 2007 ebook presents a finished remedy of Floer homology, in accordance with the Seiberg–Witten monopole equations.

Read e-book online Geometry from a Differentiable Viewpoint PDF

The improvement of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a narrative that's usually damaged into elements – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses an issue for undergraduates: Which half is geometry? what's the significant photograph to which those components belong?

Get Piecewise Linear Structures on Topological Manifolds PDF

The research of triangulations of topological areas has consistently been on the root of geometric topology. one of the such a lot studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their learn culminated within the overdue 1960s–early Nineteen Seventies in an entire category within the paintings of Kirby and Siebenmann.

Extra info for 3264 and All That: A Second Course in Algebraic Geometry

Sample text

Download PDF sample

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

by Christopher

Rated 4.16 of 5 – based on 26 votes