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130626  eng 
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a 9781848000568

100 
1 

a Perrin, Daniel

245 
0 
0 
a Algebraic Geometry
h Elektronische Ressource
b An Introduction
c by Daniel Perrin

250 


a 1st ed. 2008

260 


a London
b Springer London
c 2008, 2008

300 


a XI, 263 p
b online resource

505 
0 

a 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 RiemannRoch theorem  Rational maps, geometric genus and rational curves  Liaison of space curves

653 


a Algebraic Geometry

653 


a General Algebraic Systems

653 


a Universal algebra

653 


a Algebraic geometry

653 


a Mathematics

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a Universitext

028 
5 
0 
a 10.1007/9781848000568

856 
4 
0 
u https://doi.org/10.1007/9781848000568?nosfx=y
x Verlag
3 Volltext

082 
0 

a 516.35

520 


a 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 Université ParisSud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easilyformulated problems with nontrivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. 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
