Download E-books Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften) (v. 277) PDF

By William Fulton

In a number of contexts of topology, algebraic geometry, and algebra (e.g. crew representations), one meets the subsequent scenario. One has contravariant functors ok and A from a definite classification to the class of earrings, and a common transformation p: K--+A of contravariant functors. The Chern personality being the relevant examination ple, we name the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by means of and fA: A(Y)--+ A(X). As functors to abelian teams, ok and A can also be covariant, with push-forward homomorphisms and fA: A( X)--+ A(Y). frequently those maps don't travel with the nature, yet there's a component r f E A(X) such that the subsequent diagram is commutative: K(X) A(X) fK j J A okay( Y) ------p;-+ A( Y) The map within the best line is p x elevated via r f. whilst such commutativity holds, we are saying that Riemann-Roch holds for f. this kind of formula was once first given via Grothendieck, extending the paintings of Hirzebruch to this kind of relative, functorial atmosphere. due to the fact then viii advent a number of different theorems of this Riemann-Roch style have seemed. Un derlying every one of these there's a simple constitution having to do purely with hassle-free algebra, self sustaining of the geometry. One objective of this monograph is to explain this algebra independently of any context, in order that it might probably serve axiomatically because the desire arises.

Show description

Read Online or Download Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften) (v. 277) PDF

Similar Algebraic Geometry books

Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics)

This new-in-paperback variation presents a basic advent to algebraic and mathematics geometry, beginning with the idea of schemes, through functions to mathematics surfaces and to the idea of aid of algebraic curves. the 1st half introduces easy items akin to schemes, morphisms, base switch, neighborhood homes (normality, regularity, Zariski's major Theorem).

Essays in Constructive Mathematics

Contents and therapy are clean and intensely assorted from the traditional remedies offers a completely optimistic model of what it ability to do algebra The exposition is not just transparent, it's pleasant, philosophical, and thoughtful even to the main naive or green reader

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of simple examples and methods during this zone. compatible for self-study via a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a winning Springer writer.

Ramanujan's Lost Notebook: Part I (Pt. 1)

Within the library at Trinity collage, Cambridge in 1976, George Andrews of Pennsylvania kingdom collage came across a sheaf of pages within the handwriting of Srinivasa Ramanujan. quickly particular as "Ramanujan’s misplaced Notebook," it comprises significant fabric on mock theta services and certainly dates from the final yr of Ramanujan’s lifestyles.

Extra info for Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften) (v. 277)

Show sample text content

Rated 4.08 of 5 – based on 49 votes