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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Geometry of the Plane Cremona Maps ([EBook] /) / by Maria Alberich-Carramiñana.
Author	Alberich-Carramiñana, Maria
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details	XVIII, 262 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1769
ISBN	9783540455387
Summary Note	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 It also presents some material which has only appeared in research papers and includes new, previously unpublished results.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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b82933
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Authors: Alberich-Carramiñana, Maria . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 516.35 .

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Geometry of the Plane Cremona Maps

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