Hardcover ISBN: | 978-2-85629-864-0 |
Product Code: | COSP/24 |
List Price: | $105.00 |
AMS Member Price: | $84.00 |
Hardcover ISBN: | 978-2-85629-864-0 |
Product Code: | COSP/24 |
List Price: | $105.00 |
AMS Member Price: | $84.00 |
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Book DetailsCours SpécialisésVolume: 24; 2017; 484 ppMSC: Primary 14; 26; 32; 57
A note to readers: This book is in French.
Real algebraic varieties are ubiquitous. They are the first objects students encounter while learning about coordinates. But the systematic study of these objects, however elementary they may be, is formidable.
This book is will provide the basics of this rich theory and for more advanced readers, will provide many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book.
The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. The book offers a panorama of classical knowledge and also addresses the major developments of the last twenty years in terms of the topology and geometry of varieties of dimension two and three, without forgetting the curves, the central subject of Hilbert's famous sixteenth problem. Various level exercises are given, and the solutions to many of them are provided at the end of each chapter.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in real algebraic varieties.
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A note to readers: This book is in French.
Real algebraic varieties are ubiquitous. They are the first objects students encounter while learning about coordinates. But the systematic study of these objects, however elementary they may be, is formidable.
This book is will provide the basics of this rich theory and for more advanced readers, will provide many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book.
The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. The book offers a panorama of classical knowledge and also addresses the major developments of the last twenty years in terms of the topology and geometry of varieties of dimension two and three, without forgetting the curves, the central subject of Hilbert's famous sixteenth problem. Various level exercises are given, and the solutions to many of them are provided at the end of each chapter.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in real algebraic varieties.