Hodge theory of projective manifold

Klappentext 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 K¿er, 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 selected exercises. Despite starting with very few prerequisites, the concluding chapter works out, in the meaningful special case of surfaces, the proof of a special property of maps between complex projective manifolds, which was discovered only quite recently. Zusammenfassung Based on the eight lectures on the Hodge theory of projective manifolds. This book assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian! to Kahler! to complex projective manifolds.

Product details

• Authors: de Cataldo Mark Andrea A, andrea de Cataldo, M. Andrea De Cataldo, Mark Andrea De Cataldo, Mark Andrea A De Cataldo, Mark Andrea A (State Univ Of New York De Cataldo, Mark Andrea a. De Cataldo, Mark Andrea A De Cataldo
• Publisher: External catalogues UK
• Languages: English
• Product format: Hardback
• Released: 18.07.2007
• EAN: 9781860948008
• ISBN: 978-1-86094-800-8
• Dimensions: 155 mm x 235 mm x 12 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / Algebraic, Algebraic Geometry, Hodge Theory, Kahler Manifolds, Projective Manifolds