Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bezout's theorem -- Sheaf cohomology -- Arithmetic genus of curves and the weak Riemann-Roch theorem -- Rational maps, geometric genus and rational curves -- Liaison of space curves.
0
SUMMARY OR ABSTRACT
Text of Note
"Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Universite Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field."--Jacket.
SYSTEM REQUIREMENTS NOTE (ELECTRONIC RESOURCES)
Text of Note
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.