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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Differential Geometry of Varieties with Degenerate Gauss Maps ([EBook] /) / by Maks A. Akivis, Vladislav V. Goldberg.
Author	Akivis, Maks A.
Added Personal Name	Goldberg, Vladislav V. author.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2004.
Physical Details	XXI, 255 p. 16 illus. : online resource.
Series	CMS Books in Mathematics, Ouvrages de mathématiques de la SMC 1613-5237
ISBN	9780387215112
Summary Note	In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps. The authors introduce the above mentioned methods and apply them to a series of concrete problems arising in the theory of varieties with degenerate Gauss maps. What makes this book unique is the authors’ use of a systematic application of methods of projective differential geometry along with methods of the classical algebraic geometry for studying varieties with degenerate Gauss maps. This book is intended for researchers and graduate students interested in projective differential geometry and algebraic geometry and their applications. It can be used as a text for advanced undergraduate and graduate students.:
Contents note	Foundational Material -- Varieties in Projective Spaces and Their Gauss Maps -- Basic Equations of Varieties with Degenerate Gauss Maps -- Main Structure Theorems -- Further Examples and Applications of the Theory of Varieties with Degenerate Gauss Maps.
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/b97221
Links to Related Works	Subject References: Differential Geometry . Mathematics . Authors: Akivis, Maks A. . Goldberg, Vladislav V. . Corporate Authors: SpringerLink (Online service) . Series: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC . Classification: 516.36 .

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Differential Geometry of Varieties with Degenerate Gauss Maps

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