Geometry of the Plane Cremona Maps

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Geometry of the Plane Cremona Maps  |h [electronic resource] /  |c by Maria Alberich-Carraminana. 
250 |a 1st ed. 2002. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2002. 
300 |a XVIII, 262 p.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1769 
505 0 |a 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. 
520 |a 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 It also presents some material which has only appeared in research papers and includes new, previously unpublished results. This book will be useful as a reference text for any researcher who is interested in the topic of plane birational maps. 
650 0 |a Algebraic geometry. 
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776 0 8 |i Printed edition:  |z 9783662188132 
776 0 8 |i Printed edition:  |z 9783540428169 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1769 
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