Quasi-projective Moduli for Polarized Manifolds - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /a Series of Modern Surveys in Mathematics - Eckart Viehweg - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783642797477 - December 27, 2011
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Eckart Viehweg
Quasi-projective Moduli for Polarized Manifolds - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3 Folge /a Series of Modern Surveys in Mathematics Softcover Reprint of the Original 1st Ed. 1995 edition

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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. Starting with A. Grothendieck's construction of Hibert schemes, including the basics of D. Mumford's geometric invariant theory and an introduction to M. Artin's theory of algebraic spaces, the reader finds the tools for the construction of moduli, usually not contained in textbooks on algebraic geometry.

332 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released December 27, 2011
ISBN13 9783642797477
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 332
Dimensions 156 × 234 × 17 mm   ·   467 g
Language English  

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