The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, including open problems and an extensive list of references, is an excellent resource for researchers in this area.

The series continues this tradition into the twenty-first century as Princeton looks forward to publishing the major works of the new millennium.

Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable.

Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.

Thus our treatment of spherical tube hypersurfaces in this book is two-fold: CR-geometric and affine-geometric. As the book shows, spherical tube hypersurfaces possess remarkable properties.

Describing the state of the art around this conjecture is the main goal of this work. This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces.

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number ...

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state.

This paper presents a method for explicitly computing area minimizing hypersurfaces whose boundaries lie on the surface of a convex body.