Daniel Perrin
Springer London
2008e druk, 2008
9781848000551
Algebraic Geometry
An Introduction
Specificaties
Paperback, 263 blz.
|
Engels
Springer London |
2008e druk, 2008
ISBN13: 9781848000551
Rubricering
Onderdeel van serie
Universitext
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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; it assumes only the standard background of undergraduate algebra. The book starts with easily-formulated problems with non-trivial solutions and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Specificaties
ISBN13:9781848000551
Taal:Engels
Bindwijze:paperback
Aantal pagina's:263
Uitgever:Springer London
Druk:2008
Serie:Universitext
Inhoudsopgave
Affine algebraic sets.- Projective algebraic sets.- Sheaves and varieties.- Dimension.- Tangent spaces and singular points.- Bézout'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.