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Holding the Line

"This book gives (mostly with proofs) everything related to projective duality in characteristic zero, from local stuff (second and higher fundamental forms) to the main classifications (Zak's theorems). Since homogeneous spaces arise in the classification of extremal varieties, it is natural to study in detail their properties with respect to duality. [...] It is written with enough details to be used for studying the topics."
Edoardo Ballico, Zentralblatt MATH 1071, 2005
"[...] In this survey the author gives a broad overview on the subject by showing that there are many different aspects of projective duality and it can be studied using a wide range of methods. The presentation of the material is clear and convincing and, by minimizing technical details, for most of the text the only prerequisites are basic algebraic geometry and theory of Lie groups. […] The book will be of great interest to graduate and postgraduate students as well as professional mathematicians, presenting also a very large number of references on the subject."
Carla Dionisi, Mathematical Review Clippings 2005m

Projective Duality and Homogeneous Spaces

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Holding the Line

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