A detailed introduction to cubic hypersurfaces, applying diverse techniques to a central class of algebraic varieties.

"This detailed introduction to cubic hypersurfaces and all the techniques needed to study them leads the reader from classical topics to recent developments stu

This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University,

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of