This booklet can shape the foundation of a moment path in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection idea, and gives instinct and method, in order that the scholar develops the facility to resolve geometric difficulties. The authors clarify key rules, together with rational equivalence, Chow jewelry, Schubert calculus and Chern sessions, and readers will delight in the considerable examples, many supplied as workouts with strategies to be had on-line. Intersection is anxious with the enumeration of ideas of platforms of polynomial equations in numerous variables. it's been an energetic sector of arithmetic because the paintings of Leibniz. Chasles' nineteenth-century calculation that there are 3264 tender conic aircraft curves tangent to 5 given normal conics was once an immense landmark, and was once the foundation in the back of the name of this ebook. Such computations have been motivation for Poincaré's improvement of topology, and for plenty of next theories, in order that intersection idea is now a relevant subject of recent arithmetic.

Show description

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

Best Algebraic Geometry books

Essays in Constructive Mathematics

Contents and remedy are clean and intensely various from the normal remedies offers an absolutely optimistic model of what it potential to do algebra The exposition isn't just transparent, it truly is pleasant, philosophical, and thoughtful even to the main naive or green reader

Ramanujan's Lost Notebook: Part II (Pt. 2)

Within the spring of 1976, George Andrews of Pennsylvania country college visited the library at Trinity collage, Cambridge, to envision the papers of the past due G. N. Watson. between those papers, Andrews found a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript used to be quickly particular "Ramanujan's misplaced pc.

Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach (Undergraduate Texts in Mathematics)

This can be a publication approximately best numbers, congruences, mystery messages, and elliptic curves for you to learn conceal to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the college of Washington. The systematic examine of quantity idea was once initiated round 300B.

Hilbert

"It offers a delicate portrait of an outstanding person. It describes effectively and intelligibly on a nontechnical point the area of mathematical principles during which Hilbert created his masterpieces. And it illuminates the history of German social historical past opposed to which the drama of Hilberts existence used to be performed.

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

Show sample text content

Rated 4.27 of 5 – based on 49 votes