Pub. Date:
Springer Berlin Heidelberg
An Introduction to the Theory of Algebraic Surfaces / Edition 1

An Introduction to the Theory of Algebraic Surfaces / Edition 1

by Oscar Zariski


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Product Details

ISBN-13: 9783540046028
Publisher: Springer Berlin Heidelberg
Publication date: 05/19/1972
Series: Lecture Notes in Mathematics , #83
Edition description: 1st ed. 1969. 2nd printing 1972
Pages: 106
Sales rank: 824,795
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Homogeneous and non-homogeneous point coordinates.- Coordinate rings of irreducible varieties.- Normal varieties.- Divisorial cycles on a normal projective variety V/k (dim(V)=r?1).- Linear systems.- Divisors on an arbitrary variety V.- Intersection theory on algebraic surfaces (k algebraically closed).- Differentials.- The canonical system on a variety V.- Trace of a differential.- The arithemetic genus.- Normalization and complete systems.- The Hilbert characteristic function and the arithmetic genus of a variety.- The Riemann-Roch theorem.- Subadjoint polynomials.- Proof of the fundamental lemma.

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