How Long to Read The Hodge Theory of Projective Manifolds

By Mark Andrea de Cataldo

How Long Does it Take to Read The Hodge Theory of Projective Manifolds?

It takes the average reader 1 hour and 58 minutes to read The Hodge Theory of Projective Manifolds by Mark Andrea de Cataldo

Assuming a reading speed of 250 words per minute. Learn more

Description

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 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. Contents:Calculus on Smooth ManifoldsThe Hodge Theory of a Smooth, Oriented, Compact Riemannian ManifoldComplex ManifoldsHermitean Linear AlgebraThe Hodge Theory of Hermitean ManifoldsKähler ManifoldsThe Hard Lefschetz Theorem and the Hodge–Riemann Bilinear RelationsMixed Hodge Structures, Semi-Simplicity and Approximability Readership: Undergraduate and graduate students in mathematics. Keywords:Hodge Theory;Kahler Manifolds;Projective ManifoldsKey Features:Introduces the reader to the Hodge theory of algebraic varietiesExercises should be solved before tackling the theoretical facts that follow

How long is The Hodge Theory of Projective Manifolds?

The Hodge Theory of Projective Manifolds by Mark Andrea de Cataldo is 116 pages long, and a total of 29,696 words.

This makes it 39% the length of the average book. It also has 36% more words than the average book.

How Long Does it Take to Read The Hodge Theory of Projective Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 42 minutes to read The Hodge Theory of Projective Manifolds aloud.

What Reading Level is The Hodge Theory of Projective Manifolds?

The Hodge Theory of Projective Manifolds is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Hodge Theory of Projective Manifolds?

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