The Hodge theory of projective manifolds / Mark Andrea de Cataldo.

By:

Summer School on Hodge Theory (2003 : Byeonsan Peninsula, Korea)

Contributor(s):

De Cataldo, Mark Andrea

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781860948657
1860948650

Subject(s):

Genre/Form:

Additional physical formats: Print version:: Hodge theory of projective manifolds.DDC classification:

516.36 22

LOC classification:

QA613 .S86 2003eb

Online resources:

Click here to access online

Contents:

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.

Summary: 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.

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Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

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.

Print version record.

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.

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