Quasi-Projective Moduli for Polarized Manifolds

Large book cover: Quasi-Projective Moduli for Polarized Manifolds

Quasi-Projective Moduli for Polarized Manifolds

Publisher: Springer
ISBN/ASIN: 3540592555
ISBN-13: 9783540592556
Number of pages: 326

This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms. Both methods together allow to prove the central result of the text, the existence of quasi-projective moduli schemes, whose points parametrize the set of manifolds with ample canonical divisors or the set of polarized manifolds with a semi-ample canonical divisor.

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