TY  - BOOK
AU  - De Cataldo,Mark Andrea
ED  - Summer School on Hodge Theory
TI  - The Hodge theory of projective manifolds
SN  - 9781860948657
AV  - QA613 .S86 2003eb
U1  - 516.36 22
PY  - 2007///
CY  - London
PB  - Imperial College Press
KW  - Manifolds (Mathematics)
KW  - Congresses
KW  - Variétés (Mathématiques)
KW  - Congrès
KW  - MATHEMATICS
KW  - Geometry
KW  - Differential
KW  - bisacsh
KW  - fast
KW  - Electronic books
KW  - Conference papers and proceedings
N1  - Eight lectures from the Summer School on Hodge Theory at the Byeonsan Peninsula in South Korea, July 22 - July 27, 2003; Includes bibliographical references and index; 1. Calculus on smooth manifolds -- 2. The Hodge theory of a smooth, oriented, compact Riemannian manifold -- 3. Complex manifolds -- 4. Hermitean linear algebra -- 5. The Hodge theory of Hermitean manifolds -- 6. Kahler manifolds -- 7. The Hard Lefschetz theorem and the Hodge-Riemann bilinear relations -- 8. Mixed Hodge structures, semi-simplicity and approximability
N2  - This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Kähler, to complex projective manifolds. Though the proof of the Hodge Theorem is omitted, its consequences - topological, geometrical and algebraic - are discussed at some length. The special properties of complex projective manifolds constitute an important body of knowledge and readers are guided through it with the help of se
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203970
ER  -