Geometry of the Plane Cremona Maps

• Main Author: Alberich-Carraminana, Maria (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1769
• Subjects: Algebraic geometry.; Algebraic Geometry.

This book provides a self-contained exposition of the theory of plane Cremona maps, reviewing the classical theory. The book updates, correctly proves and generalises a number of classical results by allowing any configuration of singularities for the base points of the plane Cremona maps. It also p...

Table of Contents:

• Preliminaries
• Plane Cremona maps
• Clebsch's theorems and jacobian
• Composition
• Characteristic matrices
• Total principal and special homaloidal curves
• Inverse Cremona map
• Noether's factorization theorem.