Algebraic Geometry An Introduction /

• Main Author: Perrin, Daniel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Series: Universitext
• Subjects: Mathematics.; Algebraic geometry.; Algebra.; Algebraic Geometry.; General Algebraic Systems.; Mathematics, general.

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...

Table of Contents:

• 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.