Geometry of the Plane Cremona Maps

• Κύριος συγγραφέας: Alberich-Carraminana, Maria (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Lecture Notes in Mathematics, 1769
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.