The aim of this monograph is to give a comprehensive introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especially rational curves, on them. The book contains many exercises which makes it especially suitable as a graduate level textbook.
Includes supplementary material: sn.pub/extras
Janos Kollar
Chow Varietäten Fano Varietäten Fano varieties Hilbert schemes Hilbertschemata Kegel von Kurven algebraic varieties chow varieties cone of curves rational connected varieties rational verknüpfte Varietäten uniruled varieties