The subject of the book are construction techniques for classifying spaces of projective manifolds and positivity results for direct image sheaves. Both together allow the proof of the central result, the existence of quasi-projective moduli schemes for a large class of manifolds. The book is of great interest for researchers and graduate students in algebraic geometry or number theory.
Eckart Viehweg
Algebraische Räume Birationale Geometrie Divisor Geometrische Invarianten-Theorie Grothendieck topology Moduli Schemata Moduli schemes Polarisierte Mannigfaltigkeiten Schema algebraic geometry algebraic spaces birational geometry geometric invariant theory manifold polarized manifolds